Factoring Polynomials Mixed Practice

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

x⁴- 10x² + 9

• (x - 9)(x - 1)

• (x² - 9)(x² - 1)

• (x - 3)(x + 3)(x²- 1)

• (x + 3)(x - 3)(x + 1)(x -1)

x² - 16

• Prime

• ( x - 4) ( x + 4) 

• ( x - 8) ( x + 8) 

• ( x - 4) ( x - 4) 

Factor: 3x²-17x+10

• (x-5)(3x-2)

• (x+5)(3x+2)

• (3x-5)(x-2)

• (x+5)(3x-2)

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Factor: x² + 9x + 18

• (x+6)(x+3)

• (x-6)(x-3)

• (x-6)(x+3)

• (x+6)(x-3)

Factor completely: 2x² + 13x + 15

• (2x + 5)(x + 3)

• (x + 5)(x + 3)

• 2(x + 3)(x + 5)

• (2x + 3)(x + 5)

Factor completely: x² - 13x + 40

• (x-5)(x-8)

• (x+5)(x+8)

• (x-4)(x-10)

• (x-2)(x-20)

• 4p(p-4)

• (p-8)(p+10)

• 2(p-8)(p-9)

• 2(p-8)(p+9)