Factor Quadratic Equations with Gcf

Solve by factoring. (HINT: Factor GCF 1st)

• x = 3, x = -6

• x = 0, x = 2

• x = 2, x = 3

• x = -2, x = 1

Solve for m by factoring.

• A

• B

• C

• D

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

6x²y - 18xy²

• 6(x - 3y)

• 6xy(x - 3y)

• 6xy²(x - 3)

• 6x²y(3y - 1)

• (3x – 1)(4x + 5)
• (4x + 1)(3x – 5)
• (3x + 1)(4x – 5)
• (4x – 1)(3x + 5)

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor: 18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Let's talk Factoring.

There were 3 methods.

We always looked for a GCF first.

Factor: 12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Factor completely:

2x²+22x+60

• (2x+10)(x+6)

• (x+5)(x+6)

• 2(x+1)(x+30)

• 2(x+5)(x+6)

Which method is most efficient to solve:
8x²  -  5x  = 0

• Isolate & Use Square Roots

• Greatest Common Factor (GCF)

• Complete the Square

• Quadratic Formula