Mixed Factoring Unit Review

Write in factored form. x² - 16

• Prime

• ( x - 4) ( x + 4)

• ( x - 8) ( x + 8)

• ( x - 4) ( x - 4)

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)

• (n + 25)(n + 1)

• (n - 5)²

• (n + 5)²

Factor the following perfect square trinomial

x² – 12x + 36

• (x – 6)(x – 6)

• (x – 6)²

• (x – 6)(x + 6)

• (x + 6)²

• A
• B
• C
• D

• A

• B

• C

• D

Simplify (rationalize the denominator).

• -2 + 2√3

• 2 + 2√3

• -2 - 2√3

• 2 - 2√3

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

• (X+3)(x+3)

• (x+3)(x-3)

• does not factor

• (x-9)(x+9)