2.4 – Factoring Polynomials Tricky Trinomials

1. 2.4 – Factoring Polynomials Tricky Trinomials

2. A tricky trinomial is a quadratic expression where the leading coefficient is not a 1. You should try to common factor first but sometimes you can’t factor out the leading coefficient! There are four methods for factoring tricky trinomials: • Decomposition • Tabletop Method • Australian Method • Algebra Tiles

3. DECOMPOSITION This method stinks!

4. Factor: ___ + ___ = -8 ___ x ___ = 12 Common Factor Common Factor Common Factor Factors of 12 1 x 12 2 x 6 3 x 4

5. Factor: ___ + ___ = -1 ___ x ___ = -72 Common Factor Common Factor Common Factor Factors of 72 1 x 72 2 x 36 3 x 24 4 x 18 6 x 12 8 x 9

6. AUSTRALIAN METHOD Because of the one down under!

7. Factor: ___ + ___ = -8 ( ) ( ) = ___ x ___ = 12 4 4 one “down under” Common Factor Common Factor Factors of 12 = 1 x 12 2 x 6 3 x 4 =

8. Factor: ___ + ___ = 17 ( ) ( ) = ___ x ___ = 30 5 5 one “down under” Common Factor Common Factor Factors of 30 = 1 x 30 2 x 15 3 x 10 = 5 x 6

9. Homework: Page 109 #2, 4 – 14