AnswersCrowley Summer 26 Credit Recovery Algebra 2 ASolving Systems of Equations in Three Variables

Factoring Polynomials Completely Answers

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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.
3

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)
4

Which product of prime polynomials is equivalent to 3x4 – 81x?

3
3x(x – 3)(x2 – 3x – 9)
3
3x(x – 3)(x2 + 3x + 9)
3
3x(x – 3)(x – 3)(x + 3)
3
3x(x – 3)(x + 3)(x + 3)
5

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
6

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)
8

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)
11

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)
12

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)
13

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)
15

Which polynomial is prime?

A
x2 – 36
B
x2 + 6
C
x2 – 7x + 12
D
x2 – x – 20
16

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)
17

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)
18

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

A
3
B
3x
C
3x2
D
3x3

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