Factor Completely and Solving by Factoring

Factor Completely:  3x⁵ - 27x³

• 3(x³ - 3)(x² + 3)

• prime

• 3x³(x² - 9)

• 3x³(x - 3)(x + 3)

Factor completely:
x³ + 3x² - 4x - 12

• (x + 3)(x² - 4)

• (x + 3) (x + 2)(x - 2)

• (x² + 4) (x - 3)

• (x² + 3)(x - 4)

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

• x⁴(x² - 5x - 24)
• (x - 8)(x + 3)
• x⁴(x - 8)(x + 3)
• (x³ - 8)(x³ +3)

Factor Completely: k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Mathematical Equivalence

ON

FACTOR: 24x³+18x²-6x

• 6x(4x²+3x-1)

• 6x(x²+3x-4)

• 6x(x+4)(x-1)

• 6x(x+1)(4x-1)

Solve by factoring:  4x² - 25 = 0

• x = 2/5 and

  x = -2/5

• x = 5/4 and

  x = -5/4

• x = 5/2 and

  x = -5/2

• x = 5 and x = -4

Complete the factoring.

5x² - 40x will factor to 5x( __ )

• x - 8

• 8 - x

• x² - 8

• 8 - x²