Notes - Solving Quadratic Equations in Factored Form

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Notes - Solving Quadratic Equations in Factored
Form
Zero Product Property
If ab 0, then a 0 or b 0 If the product of
two factors is zero, then at least one of the
factors must be zero.
3 0 0 0 3 0 0 0 0
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Notes - Solving Quadratic Equations in Factored
Form(x 3)(x 2) 0
Set each factor equal to zero and solve.
Check your answers.
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Ex. 1 Solve the equation (x-2)(x3) 0
STEP 1 Set each factor equal to zero.
x-2 0 and x3 0
STEP 2 Solve for x.
x-2 0
x3 0
x-3
x 2
STEP 3 Check your answers.
(x-2)(x3) 0
(x-2)(x3) 0
(2-2)(23) 0
(-3-2)(-33) 0
(-5)(0) 0
(0)(5) 0
0 0
0 0
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Solve
1) x2 5x 6 0 2) x2 2x 8 0 3) x2
7x 6 0 4) 3x(2x 5) 0
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Answers
1) x -3, -2 2) x -2, 4 3) x -1, -6 4) x
0, -5/2
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25,000 Pyramid
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25,000 Pyramid
x15, -6
(x-12)(x4)
x 20, -10
(x-8)(x5)
x 6, x-5
x 18, -3
(x1)(x3)
x -5, -3
x -6, -5
(x4)(x6)
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25,000 Pyramid
(x-14y)(x5y)
X11, x-6
(x-10)(x10)
(x-6)(x3)
(x-5)(x4)
(x-13)(x3)
(x1)(x5)
X-9, -2
(x4)(x8)
x -7, -9