Factoring Review Algebra

Factor Completely

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Which is another way of correctly expressing
 (x  - 3)(x - 3)?

• (x² - 3²)

• (x² - 3)

• (x + 3)(x - 3)

• (x - 3)²

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor

• No, it is not a factor

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)

• 3abc(6ab³ + 8b²c)

• 6abc(3ab³ + 4c)

• 6ab3c(3b + 4c)

Factor
20p²q² - 25pm

• pm(4q - 5m)

• 5(4pq³ - 5m)

• pq(20pq² - 25m)

• 5p(4pq² - 5m)

What is the factored form of x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

49x² - 144y²

• (7x + 16y) (7x - 16y)

• (7x + 12y)²

• (12x + 7y) (12x - 7y)

• (7x + 12y) (7x - 12y)

x³ - 64

• (x - 4)(x² + 4x + 16)

• (x - 3)(x² + 3x + 9)

• (x - 5)(x² + 5x + 25)

• (x + 4)(x² - 4x + 16)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor
x² - 5x - 36

• (x - 4)(x + 9)

• (x - 6)(x + 6)

• (x + 4)(x - 9)

• (x -12)(x + 3)