Algebra 2: Factoring Polynomials

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor Completely

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored

x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

• x(5x+6)(x-1)

• x(5x-6)(x-1)

• x(2x-7)(x-3)

• (5x-6)(x-1)

The GCF of 2x²-4x+8 is (a)   .

• 2x

• 2

• x

• 1

Match each polynomial to its factored form:

• (x+4)(x-1)

• (x+4)(x+1)

• (x-4)(x-1)

• (x-4)(x+1)

Which of the following are factors of the polynomial that is graphed?

• (x - 5)³

• (x + 2)²

• (x + 2)³

• (x— 1)

Factor: