Factoring When X > 1

Factor: x² - 4x - 32

Mathematical Equivalence

ON

Factor: x² - 10x + 9

Mathematical Equivalence

ON

Factor: x² - 13x - 30

Mathematical Equivalence

ON

Match the following quadratics with their factors.

• (x - 2)(x + 6)

• x² - 4x - 12

• (x - 3)(x + 4)

• x² + 7x + 12

• (x + 2)(x - 6)

• x² + x - 12

• (x - 2)(x - 6)

• x² + 4x - 12

• (x + 3)(x + 4)

• x² - 8x + 12

Factor: x² - 7x + 12

Mathematical Equivalence

ON

What term are we going to split into two?

We're looking for two numbers that multiply to be ___ and add to be ___.

• multiply to be 40 and add to be -13

• multiply to be 20 and add to be -13

• multiply to be 2 and add to be -13

• multiply to be -13 and add to be 40

What can you now factor out of the RED group?

• x

• 2x

• 2

• 4x

What's left when you factor out a 2x from the RED group?

• x - 4x

• 4x

• x - 4

• 2x - 4

What can you factor out of the GREEN group?

• -4

• -5

• 4x

• -5x