Post on 19-Jan-2016
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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