5.2 Solving Quadratics by Factoring

Different types of Quadratics:

GCF:

Trinomials:

Difference of Squares:

Perfect Square Trinomials:

Factoring Quadratics

28122 xx

362 x

16249 2 yy

205 2 x

Factor:

Factor Quadratics

**If have 2 terms—check for GCF—then difference of squares

205 2 x

Factor:

Factor Quadratics

28122 xx**If 3 terms--You are finding what multiplies to –28 and adds to –12

Factor:

Factor Quadratics

10173 2 xx**If 3 terms--You are finding what multiplies to 30 and adds to –17

Factor:

Factor Quadratics

**If have 2 terms—check for GCF—then difference of squares

362 x

Factor:

Factor Quadratics

**If 3 terms--You are finding what multiplies to 144 and adds to 24

16249 2 yy

Ex 1: Factor each quadratic

a) 22 xx b) 32 2 xx

Ex 1: Factor each quadratic

c) 162 x d) xx 93 2

Ex 1: Factor each quadratic

e) 122 yy f) 442 xx

When you are solving a quadratic—set each

factor equal to zero and solve

Factoring and Solving

0822 xx

Ex 2: Solve each quadratic

a) 014 2 x

Ex 2: Solve each quadratic

b) 49142 xx

Ex 2: Solve each quadratic

c) 03103 2 xx

Ex 2: Solve each quadratic

d) 0432 xx

Ex 2: Solve each quadratic

e) 01681 2 y

Ex 2: Solve each quadratic

f) 06135 2 xx