Mixed Factoring Algebra

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
x² - 9

• ( x -9) (x - 9)

• (x + 3) (x + 3)

• (x + 3) (x - 3)

• ( x + 9) (x-9)

16n² - 25

• (16n - 25)(16n + 25)

• (8n - 5)(8n + 5)

• (4n + 5)(4n - 5)

• Not Factorable

Factor: (Easy Trinomial)
x² - 15x + 36

• (x - 18)(x + 2)

• (x - 12)(x - 3)

• (x - 12)(x + 3)

• (x + 18)(x - 2)

Factor (Easy Trinomial)
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor AC grouping

4n²-17n-15

• (n-10)(6n+1)

• (4n-5)(n-3)

• (n-5)(4n-3)

• (n-5)(4n+3)

Factor:

2x² + 3x - 9

• 2(x + 3)(x - 3)

• (2x - 3)²

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)