Factoring Polynomials Mixed Practice

Factor

2x⁴ - 13x² - 70

• (2x+7)(x-10)

• (7x+5)(x+2)

• (2x²+7)(x²-10)

• 2(x²+7)(x²+10)

Tags

Tri a not 1

Factor:

17xy² - xy

• 17(xy² - x)

• y(17xy - x)

• xy(17y - 1)

• prime

Tags

GCF

Factor completely: -5x² + 30x - 40

• -5(x-2)(x-4)

• (x-2)(x-4)

• -(5x-8)(x-5)

• (5x+10)(x+4)

Tags

Tri a not 1

Which binomials are a difference of two squares?

• I only

• III only

• III and IV

• II, III, and IV

Tags

Diff Squares

x⁶ - 400

• ( x³ - 200) ( x³ + 200)

• ( x² + 20) ( x² + 20)

• ( x - 20) ( x + 20)

• ( x³ - 20) ( x³ + 20)

Tags

Diff Squares

Factor completely: 2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Factor completely:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Factor Completely:

343x³ - 27

• (7x² - 3)(7x+3)

• (7x - 3)(7x² + 21x + 9)

• (7x - 3)(49x² - 21x + 9)

• (7x - 3)(49x² + 21x + 9)