Introduction to Factoring Quadratics

An example of Factored Form is:

• x² - x - 20

• (x - 5)(x + 4)

Factored Form, like 0 = (x - 5)(x + 4), can be solved using the Zero Product Property.

• True

• False

Factoring works by changing Standard Form into Factored Form, because then we can use the Zero Product Property to solve it.

• True

• False

The Area Model is used to change Factored Form into ________ .

• Standard Form

• Slope Intercept Form

• Quadratic Form

• Exponential Form

Solve by factoring: x² + 3x - 18 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve each equation by factoring.

• A

• B

• C

• D

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Which answer choice correctly shows the quadratic equation above in factored form?

• (x + 7)(x - 2) = 0

• (x - 7)(x + 2) = 0

• (x - 7)(x - 2) = 0

• (x + 7)(x + 2) = 0

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve each equation by factoring.

• A

• B

• C

• D