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Get Ready for College Algebra: Corequisites
Polynomials: Sums, Differences, and Products

 

Problem 1

Identify \(6x^2+2x-1\) as a monomial, binomial, or trinomial if possible and give the degree.

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Betsy cc
Betsy
Aaron cc
Aaron
Cynthia spanish language icon
Cynthia
Problem 2

Identify \(5x-3\) as a monomial, binomial, or trinomial if possible and give the degree.

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Julieta cc
Julieta
Betsy cc
Betsy
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 3

Identify \(7x^6-5x^3+2x-4\) as a monomial, binomial, or trinomial if possible and give the degree.

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Betsy cc
Betsy
Aaron cc
Aaron
Cynthia spanish language icon
Cynthia
Problem 4

Identify \(-7x^4\) as a monomial, binomial, or trinomial if possible and give the degree.

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Julieta cc
Julieta
Betsy cc
Betsy
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 5

Identify \(15\) as a monomial, binomial, or trinomial if possible and give the degree.

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Betsy cc
Betsy
Aaron cc
Aaron
Cynthia spanish language icon
Cynthia
Problem 6

Add \(5x^2-4x+2\) and \(3x^2+9x-6\)

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Matt cc
Matt
Brooke cc
Brooke
Anthony cc
Anthony
Edwin spanish language icon
Edwin
Problem 7
example image
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Katrina cc
Katrina
Logan cc
Logan
Cynthia spanish language icon
Cynthia
Problem 8
example image
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Anthony cc
Anthony
Brooke cc
Brooke
David spanish language icon
David
Problem 9

Simplify \(4x-3[2-(3x+4)]\)

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Julieta cc
Julieta
Katrina cc
Katrina
Logan cc
Logan
Julieta cc spanish language icon
Julieta
Problem 10

Find the value of \(5x^3-3x^2+4x-5\) when \(x\) is \(2\)

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Katrina cc
Katrina
Logan cc
Logan
Cynthia spanish language icon
Cynthia
Problem 11

Find the product of \(4x^3\) and \(5x^2-3x+1\)

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Julieta cc
Julieta
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 12

Multiply \(2x-3\) and \(x+5\)

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin spanish language icon
Edwin
Problem 13

Multiply \((2x-3y)\) and \(\left(3x^2-xy+4y^2\right)\) vertically.

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Katrina cc
Katrina
Aaron cc
Aaron
Cynthia spanish language icon
Cynthia
Problem 14

Multiply: \((4a-5b)(3a+2b)\)

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin spanish language icon
Edwin
Problem 15

Multiply: \((3-2t)(4+7t)\)

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Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 16

Multiply \(\left(2x+\displaystyle\frac{1}{2}\right)\left(4x-\displaystyle\frac{1}{2}\right)\)

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin spanish language icon
Edwin
Problem 17

Multiply \(\left(a^5+3\right)\left(a^5-7\right)\)

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Julieta cc
Julieta
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 18

Multiply: \((2x+3)(5y-4)\)

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin spanish language icon
Edwin
Problem 19

Find \((4x-6)^2\)

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Julieta cc
Julieta
Betsy cc
Betsy
Logan cc
Logan
Julieta cc spanish language icon
Julieta
Problem 20

Expand \((x+7)^2\)

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Betsy cc
Betsy
Logan cc
Logan
Edwin spanish language icon
Edwin
Problem 21

Expand \((3t-5)^2\)

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Julieta cc
Julieta
Betsy cc
Betsy
Logan cc
Logan
Julieta cc spanish language icon
Julieta
Problem 22

Expand \((4x+2y)^2\)

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Betsy cc
Betsy
Logan cc
Logan
Edwin spanish language icon
Edwin
Problem 23

Expand \(\left(5-a^3\right)^2\)

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Julieta cc
Julieta
Betsy cc
Betsy
Logan cc
Logan
Julieta cc spanish language icon
Julieta
Problem 24

Multiply: \(\left(x+\dfrac{1}{3}\right)^2\)

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Mr. McKeague cc
Mr. McKeague
Rachel cc
Rachel
Betsy cc
Betsy
Cynthia spanish language icon
Cynthia
Problem 25

Multiply \((3x-5)\) and \((3x+5)\)

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Nathan cc
Nathan
Betsy cc
Betsy
Logan cc
Logan
Edwin spanish language icon
Edwin
Problem 26

Multiply: \((x-5)(x+5)\)

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Betsy cc
Betsy
Logan cc
Logan
Julieta spanish language icon
Julieta
Problem 27

Multiply: \((2a-3)(2a+3)\)

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Betsy cc
Betsy
Logan cc
Logan
Edwin spanish language icon
Edwin
Problem 28

Multiply \(\left(x^2+4\right)\left(x^2-4\right)\)

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Betsy cc
Betsy
Logan cc
Logan
Julieta spanish language icon
Julieta
Problem 29

Multiply \(\left(x^3-2a\right)\left(x^3+2a\right)\)

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Betsy cc
Betsy
Logan cc
Logan
Edwin spanish language icon
Edwin