Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

1. x2 - 4x - 12

2. x2 + 4x - 12

3. x2 - x - 12

4. x2 - 7x - 12

A) (x - 4) (x + 3)

B) Prime

C) (x - 6) (x + 2)

D) (x - 2) (x + 6)

1. C) (x - 6) (x + 2)

2. D) (x - 2) (x + 6)

3. A (x - 4) (x + 3)

4. Prime, cannot be factored

Step-by-step explanation:

1. x² - 4x - 12

C) (x - 6) (x + 2)

If you multiply (x - 6) by (x + 2) you get x² + 2x - 6x - 12 = x² - 4x - 12

2. x² + 4x - 12

D) (x - 2) (x + 6)

If you multiply (x - 2) by (x + 6), you get x² + 6x - 2x - 12 = x² + 4x - 12

3. x² - x - 12

A. (x - 4) (x + 3)

If you multiply (x - 4) by (x + 3) you get x² + 3x - 4x - 12 = x² - x - 12

4. x² - 7x - 12

Prime, since it cannot be factored.