Factoring Polynomials Completely

Pascha is factoring the polynomial, which has four terms. 3x3 - 15x2 + 8x - 40 3x2(x - 5) + 8(x - 5) Which is the completely factored form of her polynomial? (3x2 - 5) (x + 8) (3x2 - 8) (x + 5) (3x2 + 8) (x - 5) (3x2 + 5) (x - 8)

(3x2 + 8) (x - 5)

Louise begins factoring the polynomial, which has four terms. 4x3 + 12x2 + 5x + 15 4x2(x + 3) + 5(x + 3) Which is the completely factored form of her polynomial? 4x2(x + 3)2 x(4x2 + 5) (4x2 + 5) (x + 3) (4x2 + 5) (x + 3)2

(4x2 + 5) (x + 3)

Wen is factoring the polynomial, which has four terms. 6x3 - 12x2 + 7x - 14 6x2 (x - 2) + 7(x - 2) Which is the completely factored form of his polynomial? (6x2 + 7) (x -2) (6x2 - 2) (x +7) (6x2 + 2) (x - 7) (6x2 - 7) (x + 2)

(6x2 + 7) (x -2)

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)

2x(2x + 1)(2x - 1)

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)

2x(x + 3)(2x - 1)

What is the greatest common factor of the terms in the polynomial 8x4 - 4x3 - 18x2? 2x 2x2 4x 4x2

2x2

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)

3(x + 1)(x - 5)

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)

3x(3x - 2)(4x + 1)

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

4x2

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)

4x2(2x - 3)(x + 6)