AnswersCommon Core Algebra I B-ICFactoring Polynomials Completely

Factoring Polynomials Completely Answers

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What is the greatest common factor of the terms in the polynomial 3x3 – 3x2 – 18x?

A
3
B
3x
C
3x2
D
3x3
2
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Which product of prime polynomials is equivalent to 3x4 – 81x?

A
3x(x – 3)(x2 – 3x – 9)
B
3x(x – 3)(x2 + 3x + 9)
C
3x(x – 3)(x – 3)(x + 3)
D
3x(x – 3)(x + 3)(x + 3)
3

Which product of prime polynomials is equivalent to 8x3 – 2x?

A
x(2x – 1)(2x – 1)
B
2x(x + 1)(x – 1)
C
2x2(2x + 1)(2x – 1)
D
2x(2x + 1)(2x – 1)
4

Which polynomial is prime?

A
x2 + 7
B
x2 – 25
C
3x2 – 27
D
2x2 – 8
5

What is the greatest common factor of the terms in the polynomial 4x4 – 32x3 – 60x2?

A
4
B
4x
C
4x2
D
4x3
6

Wen is factoring the polynomial, which has four terms.6x3 – 12x2 + 7x – 146x2 (x – 2) + 7(x – 2)Which is the completely factored form of his polynomial?

A
(6x2 + 7) (x –2)
B
(6x2 – 2) (x +7)
C
(6x2 + 2) (x – 7)
D
(6x2 – 7) (x + 2)
7

Louise begins factoring the polynomial, which has four terms.8x3+24x2+10x+302(4x3+12x2+5x+15)2[4x2(x+3)+5(x+3)]

A
8x2(x + 3)2
B
2x(4x2 + 5)
C
2(4x2 + 5) (x + 3)
D
2(4x2 + 5) (x + 3)2
8

Pascha is factoring the polynomial, which has four terms.3x3 – 15x2 + 8x – 403x2(x – 5) + 8(x – 5)Which is the completely factored form of her polynomial?

A
(3x2 – 5) (x + 8)
B
(3x2 – 8) (x + 5)
C
(3x2 + 8) (x – 5)
D
(3x2 + 5) (x – 8)
9

Which product of prime polynomials is equivalent to 8x4 + 36x3 – 72x2?

A
4x(2x – 3)(x2 + 6)
B
4x2(2x – 3)(x + 6)
C
2x(2x – 3)(2x2 + 6)
D
2x(2x + 3)(x2 – 6)
10

Which is the completely factored form of 4x3 + 10x2 – 6x?

A
2(x + 3)(2x – 1)
B
2x(x + 3)(2x – 1)
C
2x(x – 3)(2x – 1)
D
2(x – 3)(2x + 1)

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