# 10.5: Factoring Trinomials (Reverse FOIL) - PowerPoint PPT Presentation

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10.5: Factoring Trinomials (Reverse FOIL). Integrated Math 2. Remember FOIL?. (x + 2)(x – 7) = x 2 – 5x – 14 F O + I L To Factor Trinomials, we start with the trinomial and try to find the original two binomials. How to Factor: Factor x 2 + 4x – 12.

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10.5: Factoring Trinomials (Reverse FOIL)

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## 10.5: Factoring Trinomials (Reverse FOIL)

Integrated Math 2

### Remember FOIL?

(x + 2)(x – 7) = x2 – 5x – 14

F O + I L

To Factor Trinomials, we start with the trinomial and try to find the original two binomials.

### How to Factor: Factor x2 + 4x – 12

1.Parenthesis with an x in each group:

(x )(x )

2.Draw a big X. The third term goes on top the middle # goes on bottom.

3.Think of two #’s that multiply to get the top, but the same #’s add to get the bottom.

4.Hint!!! List the factors of the top #.

5.Place the two correct numbers and their signs in the parenthesis. It doesn’t matter which number goes where!!!

### Reverse FOIL

Some people may find this chart helpful, but reverse FOIL is technically trial and error!

1. x2 + 5x + 6

( )( )

x

+

x

+

3

2