Factoring Polynomials Completely

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 + 2) (x + 4)

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)

Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial?

2(4x2 + 5) (x + 3)

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

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

Which is the completely factored form of 4x3 + 10x2 - 6x?

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

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?

3(7x2 + 5) (x − 3)

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

3(x + 1)(x - 5)

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

3x

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

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

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

3x(x - 3)(x2 + 3x + 9)

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

4x2

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

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

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 3.

Which polynomial is prime?

x2 + 6