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 4x4 – 32x3 – 60x2?

A
4
B
4x
C
4x2
D
4x3
2
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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)
3

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
4

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)
5

Which product of prime polynomials is equivalent to 36x3 – 15x2 – 6x?

A
x(3x – 2)(4x + 1)
B
3x(3x – 2)(4x + 1)
C
3(x2 + 1)(4x – 1)
D
3(x2 + 1)(4x + 1)
6

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)
7

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

A
3
B
3x
C
3x2
D
3x3
8

Tomas factored the polynomial completely. What is true about his final product?3x4−18x3+9x2−54xAx(x2+B)(x+C)

A
A and B are both 6.
B
A and B are both 3.
C
B and C are both positive.
D
B and C are both negative.
9

Which polynomial is prime?

A
x2 + 7
B
x2 – 25
C
3x2 – 27
D
2x2 – 8
10

Which is the completely factored form of 3x2 – 12x – 15?

A
3(x + 1)(x – 5)
B
3(x – 1)(x + 5)
C
(3x + 1)(x – 15)
D
(3x – 1)(x + 15)
11

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)
12

Antonia is factoring the polynomial, which has four terms.21x3−63x2+15x−453[7x3−21x2+5x−15]3[7x2(x−3)+5(x−3)]

A
21x2(x − 3)
B
36x2(x − 3)
C
3(7x2 + 5) (x − 3)
D
3(12x2 + 5) (x − 3)
13

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)

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