Factoring Polynomials Completely Quiz

Which is the completely factored form of 3x2 - 12x - 15? 3(x + 1)(x - 5) 3(x - 1)(x + 5) (3x + 1)(x - 15) (3x - 1)(x + 15)

A

Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C) A and B are both 6. A and B are both 3. B and C are both positive. B and C are both negative.

B

Which is the completely factored form of 4x3 + 10x2 - 6x? 2(x + 3)(2x - 1) 2x(x + 3)(2x - 1) 2x(x - 3)(2x - 1) 2(x - 3)(2x + 1)

B

Which polynomial is prime? x2 - 36 x2 + 16 x2 - 7x + 12 x2 - x - 20

B

Which product of prime polynomials is equivalent to 36x3 - 15x2 - 6x? x(3x - 2)(4x + 1) 3x(3x - 2)(4x + 1) 3(x2 + 1)(4x - 1) 3(x2 + 1)(4x + 1)

B

Which product of prime polynomials is equivalent to 8x4 + 36x3 - 72x2? 4x(2x - 3)(x2 + 6) 4x2(2x - 3)(x + 6) 2x(2x - 3)(2x2 + 6) 2x(2x + 3)(x2 - 6)

B

Antonia is factoring the polynomial, which has four terms. 21x3−63x2+15x−45 3[7x3−21x2+5x−15] 3[7x2(x−3)+5(x−3)] Which is the completely factored form of her polynomial? 21x2(x − 3) 36x2(x − 3) 3(7x2 + 5) (x − 3) 3(12x2 + 5) (x − 3)

C

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

C

Ricardo is factoring the polynomial, which has four terms. 5x3 + 20x2 + 2x + 8 5x2(x + 4) + 2(x + 4) Which is the completely factored form of his polynomial? 5x2(x + 4) 7x2 (x + 4) (7x2 + 2) (x + 4) (5x2 + 2) (x + 4)

D

Which product of prime polynomials is equivalent to 8x3 - 2x? x(2x - 1)(2x - 1) 2x(x + 1)(x - 1) 2x2(2x + 1)(2x - 1) 2x(2x + 1)(2x - 1)

D