Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square...
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![Page 1: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/1.jpg)
5.2 Solving Quadratics by Factoring
![Page 2: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/2.jpg)
Different types of Quadratics:
GCF:
Trinomials:
Difference of Squares:
Perfect Square Trinomials:
Factoring Quadratics
28122 xx
362 x
16249 2 yy
205 2 x
![Page 3: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/3.jpg)
Factor:
Factor Quadratics
**If have 2 terms—check for GCF—then difference of squares
205 2 x
![Page 4: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/4.jpg)
Factor:
Factor Quadratics
28122 xx**If 3 terms--You are finding what multiplies to –28 and adds to –12
![Page 5: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/5.jpg)
Factor:
Factor Quadratics
10173 2 xx**If 3 terms--You are finding what multiplies to 30 and adds to –17
![Page 6: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/6.jpg)
Factor:
Factor Quadratics
**If have 2 terms—check for GCF—then difference of squares
362 x
![Page 7: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/7.jpg)
Factor:
Factor Quadratics
**If 3 terms--You are finding what multiplies to 144 and adds to 24
16249 2 yy
![Page 8: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/8.jpg)
Ex 1: Factor each quadratic
a) 22 xx b) 32 2 xx
![Page 9: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/9.jpg)
Ex 1: Factor each quadratic
c) 162 x d) xx 93 2
![Page 10: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/10.jpg)
Ex 1: Factor each quadratic
e) 122 yy f) 442 xx
![Page 11: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/11.jpg)
When you are solving a quadratic—set each
factor equal to zero and solve
Factoring and Solving
0822 xx
![Page 12: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/12.jpg)
Ex 2: Solve each quadratic
a) 014 2 x
![Page 13: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/13.jpg)
Ex 2: Solve each quadratic
b) 49142 xx
![Page 14: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/14.jpg)
Ex 2: Solve each quadratic
c) 03103 2 xx
![Page 15: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/15.jpg)
Ex 2: Solve each quadratic
d) 0432 xx
![Page 16: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/16.jpg)
Ex 2: Solve each quadratic
e) 01681 2 y
![Page 17: Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697c0271a28abf838cd668d/html5/thumbnails/17.jpg)
Ex 2: Solve each quadratic
f) 06135 2 xx