Factoring Quadratic Expressions with GCF

• 5

• 5x

Factor Trinomial Completely:
2x² + 12x + 16

Mathematical Equivalence

ON

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

What is the GCF? 2x²-4x+8

• 2x

• 2

• x

• 1

Factor the following quadratic. Don't forget to look for a GCF:

2x² - 2x - 180

• 2(x+9)(x-10)

• 2(x-9)(x+10)

• (2x+1)(x-1)

• (2x-45)(x+2)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

x² - 5x

• (x - 5)

• (x - 5x)

• (x - 5)

• x²(1 - 5)

What do you have to check FIRST before you can start factoring?

• If there is a GCF

• What the a value is

• All terms are combined

• Zero Product Property

Factor by finding the gcf