Example 3: Multiplying a binomial by a polynomial word problem | Algebra II | Khan Academy
A1 A2 B1 B2 C1 C2
big
US / bɪɡ /
•UK / bɪɡ /
- adjecitve
- Popular
- Serious
- Large
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
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
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
entire
US / ɪn'taɪə(r) /
•UK / ɛnˈtaɪr /
- adjecitve
- Complete or full; with no part left out; whole
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
power
US / 'paʊə(r) /
•UK / ˈpaʊɚ /
- noun
- Legal or official right to perform certain actions
- Ability to move forcefully and quickly
- Energy of something (e.g. electricity or fuel)
- Mathematical way to multiply a number
- Condition of being in political control
- Physical force, energy, and strength
- verb
- To give energy to something, e.g. by electricity
- To move something forcefully and quickly
whose
US / hu:z /
•UK / huz /
- pronoun
- Refers to the person who owns something
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
transparent
US / trænsˈpærənt /
•UK / trænsˈpærənt /
- adjecitve
- Being open to see and to public criticism
- Able to be seen through
- Being simple and easily understood
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
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
distributive
US / dɪˈstrɪbjətɪv /
•UK / dɪˈstrɪbjətɪv /
- adjecitve
- Serving to distribute or allot or disperse
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)
line
US / laɪn /
•UK / laɪn /
- noun
- Border that divides two places or regions
- Long crease in the skin, often from age
- Mark that is long, straight and very thin
- Row of words, letters or numbers that are written
- Telephone connection
- People waiting one behind the other; queue
- Long thin wire, e.g. for electrical signal
- verb
- To put material along the inside of something
object
US / 'ɒbdʒɪkt /
•UK / ˈɑbdʒɪkt /
- noun
- Something you can see or touch, but is not alive
- Goal or purpose of a particular plan or activity
- The thing that the action of a verb acts upon
- verb
- To disagree; to protest against an idea or plan
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
constant
US / 'kɒnstənt /
•UK / ˈkɑnstənt /
- adjecitve
- Happening frequently or without pause
- noun
- Thing that happens always or at a regular rate
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
area
US / 'eərɪə /
•UK / ˈɛriə /
- noun
- Amount of measured space
- A specific section or space; part of a region
- A subject or field of study
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
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
complicated
US / 'kɒmplɪkeɪtɪd /
•UK / ˈkɑmplɪˌketɪd /
- adjecitve
- Difficult to do, understand or use
- verb
- To make more difficult to do, understand or use
straight
US / streɪt /
•UK / stret /
- adjecitve
- Not having curves, bends, or angles
- Not gay; heterosexual
- honest and direct
- adverb
- in a line; immediately; honestly and directly
once
US / wʌns /
•UK / wʌns /
- adverb
- One time; one instance
- At a time in the past
- conjunction
- When; as soon as
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
third
US / θɜ:d /
•UK / θɜ:rd /
- adjecitve
- 3rd: Number after second
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
write
US / raɪt /
•UK / raɪt /
- verb
- To compose letters and words on paper or a screen
- To invent or create a computer program
- To create a song or piece of music
draw
US / drɔ: /
•UK / drɔ /
- noun
- Something that attracts people to visit a place
- A lottery or prize
- Result of a game, contest where the score is equal
- verb
- To attract attention to someone or something
- To get closer to or approach something or someone
- To influence a person's involvement in something
- To move an object by pulling
- To create an image using pen or pencil and paper
- To take one thing out of a container, etc.
- (Of 2 teams) to finish a game with the same score
foot
US / fʊt /
•UK / fʊt /
- noun
- Base of something such as a mountain or vase
- Length of 12 inches or about 25 cm
- Lowest part of the leg we use to stand on
tank
US / tæŋk /
•UK / tæŋk /
- noun
- Container for holding liquid or gas
- Military vehicle that can go over rough areas
- verb
- To fail completely or badly
- To deliberately lose a game or contest
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
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
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
height
US / haɪt /
•UK / haɪt /
- noun
- Distance of something from the bottom to the top
only
US / ˈəunli /
•UK / ˈonli /
- adverb
- Just one; just that amount or thing; not more than
- Not very important or serious
- Just that type of thing, person
- Short time ago; not before a certain time
- conjunction
- Except; but
two
US / tu: /
•UK / tu /
- number
- 2
from
US / frəm /
•UK / frʌm, frɑm,frəm /
- preposition
- Starting at a particular place, time or level
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
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
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
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
base
US / beɪs /
•UK / bes /
- noun
- Place military personnel live, train, and operate
- Bottom part of an object that touches a surface
- Unit of counting, e.g. 10 for counting
- Most important idea or ingredient to add others
- Origin or start from which something came
- Main place where an organization or a person works
- verb
- To use as the starting point or origin for
- To have as the main location for (company, etc.)
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
finally
US / ˈfaɪnəli /
•UK / ˈfaɪnəli /
- adverb
- used especially at the beginning of a sentence to introduce the last point or idea
- After a long time or some difficulty
something
US / ˈsʌmθɪŋ /
•UK / ˈsʌmθɪŋ /
- adverb
- In some degree or measure
- noun
- a person or thing of some value or consequence
- pronoun
- Thing that is not yet known or named
- Approximately
top
US / tɒp /
•UK / tɑp /
- adjecitve
- Being good or great; excellent
- Being the most in degree or quality
- noun
- Item of clothing covering shoulders to waist, hips
- A cover or lid
- Part (e.g. road) that is the furthest away
- Highest or upper part or point of something
- Best or highest status or position
- Flat upper surface or edge of an object
- Child's toy that spins on its point
- Upper section or leaves of fruits and vegetables
- Winning in a sport or contest
- verb
- To be higher or larger than a specific value
- To arrive at the highest point of something
- To put a cover or layer or over something
- To kill; murder
- To hold the highest position on a list
- To be more important, successful or better than
- To beat someone or win at a game
add
US / æd /
•UK / æd /
- verb
- To include as well
- To put two things or numbers together, e.g. 2+2
cylindrical
US / səˈlɪndrɪkl /
•UK / səˈlɪndrɪkəl /
- adjecitve
- Having the shape of a cylinder
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
they
US / ðeɪ /
•UK / ðe /
- pronoun
- Two or more people, animals, or things
volume
US / ˈvɒlju:m /
•UK / ˈvɑljum, -jəm /
- noun
- Number or amount of something e.g. sales
- Amount of space that something takes up
- One book that is part of a set of books
- Level of sound produced by radio or television
polynomial
US / ˌpɒlɪ'nəʊmɪəl /
•UK / ˌpɒlɪ'noʊmɪrl /
- adjecitve
- Having the character of a polynomial
multiply
US / ˈmʌltɪplaɪ /
•UK / ˈmʌltəˌplaɪ /
- verb
- To increase in number by reproducing/having babies
- To increase something by a large quantity
- To have increased by a large quantity
- To calculate two numbers e.g. 2 x 4
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
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
give
US / ɡɪv /
•UK / ɡɪv /
- noun
- Degree of flexibility in something, a material
- verb
- To hand over or present something to someone
- To cause someone to have or experience something
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
same
US / seɪm /
•UK / sem /
- adjecitve
- Being equal in quality and amount
- Identical; not different
- Not changing; constant
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
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
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
maybe
US / ˈmeɪbi /
•UK / ˈmebi /
- adverb
- Possibly but not certainly; perhaps
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us
whole
US / həul /
•UK / hol /
- adjecitve
- Complete or full; all of
- Being in a good condition
- noun
- Complete amount or sum; total
really
US / ˈri:əli /
•UK / ˈriəˌli, ˈrili /
- adverb
- Used to stress something that is said; definitely
- In a true or accurate manner
- Very
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
first
US / fɜ:st /
•UK / fɚst /
- adjecitve
- 1st; Coming before all others in time or place
- noun
- Something that has not happened before
- Position of the winner of a competition
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
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
cylinder
US / ˈsɪlɪndə(r) /
•UK / ˈsɪləndɚ /
- noun
- Tube shape with flat ends
each
US / i:tʃ /
•UK / itʃ /
- determiner
- Every one of two or more things
- pronoun
- Per one person or thing
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
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
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
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
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
label
US / 'leɪbl /
•UK / ˈlebəl /
- noun
- A (luxury) brand owned by a company
- A word or term used to describe a person, thing
- A piece of paper or material to identify something
- verb
- To use a term to describe, often negatively
- To attach material to identify something
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’
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
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
suppose
US / sə'pəʊz /
•UK / səˈpoʊz /
- conjunction
- What if
- verb
- To imagine or guess what might happen
find
US / faɪnd /
•UK / faɪnd /
- noun
- Object discovered by chance
- Things that have been discovered from searching
- verb
- To become aware of something that is happening
- To discover or meet by chance
- To decide if someone is guilty of a crime, or not
- To learn through study, research, or effort
- To discover something by looking for it