Algebra 2/trigonometry 1 Quadratic Equations Worksheet Page 11
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185.2 Solving Quadratic Equations by Factoring (w/ graphing calculator to check)
(R,E/3)
This method is used only if you can factor the equation.
Steps:
(1)
Set the equation to zero
(2)
Factor the non-zero side of the equation
(3)
Apply the zero product property (ZPP)-set each factor to zero and solve
(4)
Check all answers
Directions:
Solve by factoring
2
2
��
+ 3�� − 10 = 0
��
− 14�� − 15 = 0
E1.
P1.
2
2
5��
+ 4�� = 12
36��
= 49
E2.
P2.
2
2
2
16��
+ 24�� = −9
14��
+ 11�� + 3 = 2��
− 3�� + 3
E3.
P3.
4
2
4
2
2��
− 16��
= −32
3��
− 54��
= −243
E4.
P4.
11 |
P a g e
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