Factoring Polynomials Completely

Question 1

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

Revolt · Accepted Answer

3(7x2 + 5) (x − 3)

Question 2

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

Revolt · Accepted Answer

A and B are both 3.

Question 3

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

Revolt · Accepted Answer

3x(x – 3)(x2 + 3x + 9)

Question 4

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

Revolt · Accepted Answer

2x(2x + 1)(2x – 1)

Question 5

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

Revolt · Accepted Answer

3x

Question 6

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

Revolt · Accepted Answer

4x2(2x – 3)(x + 6)

Question 7

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

Revolt · Accepted Answer

4x2

Question 8

Ricardo is factoring the polynomial, which has four terms.5x3 + 20x2 + 2x + 85x2(x + 4) + 2(x + 4) Which is the completely factored form of his polynomial?

Revolt · Accepted Answer

(5x2 + 2) (x + 4)

Factoring Polynomials Completely Answers

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