Example 2: Factoring quadratics by grouping | Algebra I | Khan Academy
A1 A2 B1 B2 C1 C2
ones
US / wʌnz /
•UK / wʌnz /
- number
- Number 1, a single person or thing
other
US / 'ʌðə(r) /
•UK / ˈʌðər /
- adjecitve
- A thing different from that mentioned
- determiner
- (Something) else; not the first (one)
- pronoun
- Being the one and only thing of that category
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
into
US / 'ɪntə /
•UK / ˈɪntu /
- preposition
- Moving or going inside something
- In the same direction as; in the direction of
- So as to become; taking the state of
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
kind
US / kaɪnd /
•UK / kaɪnd /
- adjecitve
- In a caring and helpful manner
- friendly and considerate
- noun
- One type of thing
five
US / faɪv /
•UK / faɪv /
- number
- 5
whose
US / hu:z /
•UK / huz /
- pronoun
- Refers to the person who owns something
term
US / tɜ:m /
•UK / tɚm /
- noun
- Conditions applying to an agreement, contract
- Length of time something is expected to happen
- Fixed period of weeks for learning at school
- The (precise) name given to something
- verb
- To call; give a name to
coefficient
US / ˌkəʊɪˈfɪʃnt /
•UK / ˌkoʊɪˈfɪʃnt /
- adjecitve
- Number by which another number is multiplied
happen
US / 'hæpən /
•UK / ˈhæpən /
- verb
- To take place or occur
value
US / 'vælju: /
•UK / ˈvælju /
- noun
- Importance you attach to something
- Some information expressed as a number
- Stated price of something; worth
- verb
- To place a high importance on something
- To say how much money something is worth
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
essentially
US / ɪˈsenʃəli /
•UK / ɪˈsenʃəli /
- adverb
- Basically; (said when stating the basic facts)
second
US / 'sekənd /
•UK / ˈsɛkənd /
- adjecitve
- 2nd; the one following first
- noun
- Unit of time; one sixtieth of a minute
- Short period of time that you wait for someone
- (Do) soon
- verb
- To agree to support a proposal at a meeting
roughly
US / ˈrʌfli /
•UK / ˈrʌflɪ /
- adverb
- Approximately; (of numbers) about; around
- In a manner that is violent or not careful
- In an inexact, imprecise or violent way
- In a basic, simple manner
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
whenever
US / wenˈevə(r) /
•UK / hwɛnˈɛvɚ /
- adverb
- At any or every time that
square
US / skweə(r) /
•UK / skwɛr /
- adjecitve
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
- noun
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Open public area in the middle of the town
- verb
- To make something balance or be equal
- To multiply a number by itself, e.g. 2x2 or 6x8
- To straighten the edge to form a four-sided shape
tell
US / tel /
•UK / tɛl /
- verb
- To (strongly) advise a person to do something
- To be able to guess
- To say or communicate information to someone
- To inform, but without speaking; indicate
- To have a negative effect on someone
- To order someone to do something; command
- To recognize something based on certain signs
- To report something to an authority
- To explain something or teach someone something
number
US / ˈnʌmbə(r) /
•UK / ˈnʌmbɚ /
- noun
- Symbols such as 1, 2, 56, 793
- Particular song or dance performed during a show
- Total quantity or amount of things
- verb
- To put numbers on things
- To assign a sequence within a group, series, set
- To claim to be part of a larger group, series, set
great
US / ɡreɪt /
•UK / ɡret /
- adjecitve
- Very large in size
- Very important
- Very good; fantastic; wonderful
- adverb
- Very good; better than before
- noun
- Successful and well-admired person
expand
US / ɪk'spænd /
•UK / ɪkˈspænd /
- verb
- To make something larger in size, number, amount
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
different
US / ˈdɪfrənt /
•UK / ˈdɪfrənt /
- adjecitve
- Not of the same kind; unlike other things
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
absolute
US / ˈæbsəlu:t /
•UK / ˈæbsəˌlut /
- adjecitve
- Complete; total; pure; not limited in any way
- noun
- Something that is complete, total, pure, certain
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
divide
US / dɪ'vaɪd /
•UK / dɪˈvaɪd /
- verb
- To split numbers by another number, e.g. 6 / 2 = 3
- To separate something into equal pieces
too
US / tu: /
•UK / tu /
- adverb
- In addition, also; with emphasis
- Say that something is more than you want
side
US / saɪd /
•UK / saɪd /
- adjecitve
- In addition to the central or most important thing
- Next to, or very close to, the right or left of
- noun
- Position or opinion that is opposite to another
- Right or left part of a person's body
- Feature of someone's personality
- Straight edge of an object
- One of two or more groups fighting each other
- verb
- To decide to agree with one point, not the other
plus
US / plʌs /
•UK / plʌs /
- noun
- A benefit or advantage
- preposition
- In addition; add
- In addition to; Indicates a number above
- Having a value greater than zero
try
US / traɪ /
•UK / traɪ /
- noun
- Act of putting the ball over the rugby goal line
- verb
- To make an effort, to attempt to do something
- To examine someone or something in a court of law
- To test to see if it is good or you like it
- To make a person go through hardship; test
- To examine something to see if it works
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
point
US / pɔɪnt /
•UK / pɔɪnt /
- noun
- An item to be discussed
- Small spot or dot
- Fact or detail
- Feature of something
- The size of the text on a page or screen
- A certain time or stage in a process
- Certain position in time or space
- Idea or fact you try to convince people about
- Measurement of scores in a game, sport
- Sharp end of something, e.g. a pen or pin
- verb
- To face a certain direction, e.g. north
- To indicate something with your finger to others
explain
US / ɪk'spleɪn /
•UK / ɪkˈsplen /
- verb
- To make clear or easy to understand by describing
will
US / wɪl /
•UK / wɪl /
- noun
- Desire or choice of someone
- Document saying who gets your money when you die
- Strong desire to do something; determination
- Desire to do something; strong wish to do
- other
- Used with verbs to express the future
- verb
- To leave property to someone after your death
- To use mental effort to make something happen
- Am (is, are) likely to do
- To influence someone to do something
- To make something happen by strongly wanting it
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
break
US / breɪk /
•UK / brek /
- noun
- Time you stop an activity before continuing
- End of a relationship
- An escape from a place such as a jail
- (Lucky) advantage or benefit from something
- Find a solution or answer to a problem or crime
- Change in the weather
- verb
- To create a new record e.g. running the 100m dash
- To form a crack in something
- To burst or become damaged
- To end a relationship
- To escape from a place such as a jail
- To train a wild animal e.g. a horse
- To separate into pieces by force, or by dropping
- To act against a law, rule, or promise
- To become known suddenly, as in the news
- To not do what you promised e.g. not keep promises
- To solve a crime, or answer a problem
- To stop functioning properly
- To suddenly start, open or commence
- To change in pitch suddenly, as in a voice
- To fall on the shore, as in waves
- To begin or change suddenly; the dawn or weather
- To defeat by causing the person to lose their will
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
confuse
US / kənˈfju:z /
•UK / kənˈfjuz /
- verb
- To make something unclear or hard to understand
negative
US / 'neɡətɪv /
•UK / ˈnɛɡətɪv /
- adjecitve
- Being harmful, unwanted or unhelpful
- In mathematics, being less than zero
- Focusing on the bad aspects; pessimistic
- noun
- The opposite to a positive electrical charge
- In grammar, containing words such as 'no' or 'not'
- Reply to a question or statement that means 'no'
- Image on camera film used to make a photo
group
US / ɡru:p /
•UK / ɡrup /
- noun
- Two or more musicians who play music together
- Number of people or things gathered together
- verb
- To combine or collect objects or people together
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
add
US / æd /
•UK / æd /
- verb
- To include as well
- To put two things or numbers together, e.g. 2+2
both
US / bəuθ /
•UK / boθ /
- determiner
- Used to refer to two things at the same time
- pronoun
- Used to refer to two things at the same time
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
common
US / 'kɒmən /
•UK / ˈkɑmən /
- adjecitve
- Shared; Belonging to or used by everyone
- Typical, normal; not unusual
- noun
- Area in a city or town that is open to everyone
- Field near a village owned by the local community
worry
US / ˈwʌri /
•UK / ˈwɜ:ri /
- noun
- Something that causes trouble or concern
- verb
- To cause concern or trouble over something
work
US / wɜ:k /
•UK / wɚk /
- adjecitve
- Activity completed in order to make money
- noun
- The product of some artistic or literary endeavor
- Everything created by an author, artist, musician
- Activity you do in order to make money
- Place of employment
- Final product or result of a some labor or effort
- verb
- To bring into a specific state of success
- To be functioning properly, e.g. a car
- To do your job in your company or workplace
- To make an effort to do something
- To operate a machine or device
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
their
US / ðɛː /
•UK / ðer /
- determiner
- Belonging to them
figure
US / ˈfiɡə /
•UK / ˈfɪɡjɚ /
- noun
- Your body shape
- Numbers in a calculation
- Doll-like thing meant to represent a person
- Picture or diagram giving information in a text
- Person who is very important or famous
- Shape of a person seen indistinctly or in outline
- Amount that is expressed in numbers
- verb
- To appear in a game, play or event
- To calculate how much something will cost
- To understand after thinking; work out
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
rewrite
US / ˌri:'raɪt /
•UK / riˈraɪt /
- verb
- To write again to improve, or correct errors
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
they
US / ðeɪ /
•UK / ðe /
- pronoun
- Two or more people, animals, or things
those
US / ðəʊz /
•UK / ðoz /
- determiner
- The people or things we are talking about
- pronoun
- The objects far from the speaker
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
since
US / sɪns /
•UK / sɪns /
- adverb
- At a point before the present time
- conjunction
- For this reason; because
- preposition
- From the time in the past that
ask
US / ɑ:sk /
•UK / æsk /
- verb
- To say to someone that you want something
positive
US / ˈpɒzətɪv /
•UK / ˈpɑzɪtɪv /
- adjecitve
- Showing agreement or support for something
- Being sure about something; knowing the truth
- Having the charge produced by electrons
- Being good or useful
- Showing that a chemical is present in a test
middle
US / 'mɪdl /
•UK / ˈmidl /
- adjecitve
- Equal distance from extremes
- noun
- Place that is halfway between two things
difference
US / 'dɪfrəns /
•UK / ˈdɪfərəns, ˈdɪfrəns /
- noun
- A thing or issue that people do not agree about
- Not of the same kind; unlike other things
why
US / waɪ /
•UK / hwaɪ, waɪ /
- adverb
- Question word to ask for a reason
- exclamation
- (Used to express surprise or approval)
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
good
US / ɡʊd /
•UK / ɡʊd /
- adjecitve
- Proper, appropriate or right
- (Of an amount) enough; plenty
- Excellent; high quality
- Acting well or properly; of moral character
- In a positive or happy emotional state
- noun
- Advantage or benefit
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
can
US / kæn /
•UK / kən,kæn /
- noun
- A metal container for storing food
- other
- Able to; have the skill to; have the time to
- verb
- To have permission to
- To be possible to do
- To preserve food by sealing it in a metal container
whole
US / həul /
•UK / hol /
- adjecitve
- Complete or full; all of
- Being in a good condition
- noun
- Complete amount or sum; total
size
US / saɪz /
•UK / saɪz /
- noun
- How big or small a thing is
- Standard measurements for clothing, shoes
- verb
- To make something to fit a particular measurement
- To organize or group from small to large
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
color
US / 'kʌlə(r) /
•UK / ˈkʌlɚ /
- noun
- Quality of things you can see, e.g. red, blue
- Pink or red in your face, e.g. after being ill
- The shade of someone's skin e.g. black, or yellow
- verb
- To change or affect someone's opinion
- To make something colorful using colored pencils
distribute
US / dɪˈstrɪbju:t /
•UK / dɪˈstrɪbjut /
- verb
- To hand out or give to people
- To send products to stores to sell
- To spread something over an area
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
video
US / 'vɪdɪəʊ /
•UK / ˈvɪdiˌo /
- adjecitve
- Of a moving film, with sound
- noun
- Recording capturing action with sound
- verb
- To make a moving film of, with sound
want
US / wɔnt /
•UK / wɑnt, wɔnt /
- noun
- Something you desire or wish for
- State or condition of poverty
- verb
- To desire or wish for something; hope for a thing
sum
US / sʌm /
•UK / sʌm /
- noun
- Amount when all is added together; total
- verb
- To add two or more numbers together; total
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
two
US / tu: /
•UK / tu /
- number
- 2
magic
US / 'mædʒɪk /
•UK / ˈmædʒɪk /
- adjecitve
- Concerning or involving tricks for entertainment
- Being able to produce good results or success
- noun
- Attractive, appealing, and exciting quality
- Performance of tricks for entertainment
- Special ability or skill that causes success
- Use of the supernatural to make things happen
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
come
US / kʌm /
•UK / kʌm /
- verb
- To arrive at a place
- (Of mail) to be delivered
- To move toward someone; go with someone
- To reach a certain point or state
guy
US / ɡaɪ /
•UK / ɡaɪ /
- noun
- Man; boy; any person
back
US / bæk /
•UK / bæk /
- adjecitve
- Farthest from the front e.g. in a classroom
- adverb
- Have returned to a place you were before
- noun
- The part of a chair that the upper body leans upon
- Location at the rear of something
- The reverse of side something
- Area on the rear of your body
- verb
- To bet money on something
- To go backwards in a car
- To support and encourage someone or some cause
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
where
US / hwɛə /
•UK / hwɛr, wɛr /
- conjunction
- At or in the place which
- In whatever place
- pronoun
- Word you use to ask the location of something
far
US / fɑ:(r) /
•UK / fɑr /
- adjecitve
- A long way away
- Being a long way away
- adverb
- To a large degree or extent
call
US / kɔ:l /
•UK / kɔl /
- noun
- A order or request for action
- The sound an animal makes, often when in danger
- A correct prediction, e.g. a decision in a game
- A short visit to a place or person
- A decision by a referee or umpire in a game
- verb
- To make a request or order for action
- (Animal) to make sounds to warn of danger
- To announce the date of an election
- To make a judgment about something
- To give someone or something a name
- To guess in advance the result or outcome
- To visit a place or person for a short time
- To phone someone
- To speak, announce or shout in a loud voice
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
minus
US / ˈmaɪnəs /
•UK / ˈmaɪnəs /
- adjecitve
- Being close to the bottom of a letter grade
- noun
- Negative quality; disadvantage
- Sign that indicates subtraction
- preposition
- Being less than zero in number
- Used when subtracting one number from another
- verb
- To take one number away from another; subtract