Download 1. get the quadratic = 0

Solving quadratics using factoring
Use this pattern to solve for the variable:
1. get the quadratic = 0 (zero product property) and factor completely
2. set each ( ) = 0 (this means to write two new equations)
3. solve for the variable (you sometimes get more than 1 solution)
Find the roots of each equation:
1.) x 2 + 7 x − 30 = 0
6 ⎞⎛ 4
8⎞
⎛2
2.) ⎜ x − ⎟⎜ x + ⎟ = 0
7 ⎠⎝ 5
9⎠
⎝3
Find the zeros of each equation:
5.) v(v + 3) = 10
4.) 2 x 2 + 8 x − 30 = x − 34
3.) 3x 2 − 2 x = 21
6.) 2 x 2 + x = 15
Find the zeros of the function by rewriting the function in intercept form:
7.) y = 6 x 2 − 3x − 63
8.) f ( x ) = 12 x 2 + 6 x − 6
9.) g ( x ) = 49 x 2 − 16
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Solve Quadratic Equations by Finding Square Roots
•
Isolate the variable or expression being squared (get it ______________)
•
Square root both sides of the equation (include + and – on the right side!)
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This means you have _____________ equations to solve!!
•
Solve for the variable (make sure there are no roots in the denominator)
1.)
3.)
x2 = 25
2
4x – 1 = 0
5.) (2y + 3)2 = 49
2.) 3x2 = 81
m2
4.)
−3 = 2
15
2
6.) 3 ( x − 2) − 6 = 34
2