2016­1­14 zero product property.notebook
January 14, 2016
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Lesson 9: Zero Product Property
Student Outcomes:
Students solve increasingly complex one-variable equations, some of which
need algebraic manipulation, including factoring as a first step and using the
zero product property.
2016­1­14 zero product property.notebook
January 14, 2016
Consider the equation a b c d = 0.
What values of a, b, c, d would make the
sentence true?
Zero Product Property
If ab = 0, then a = 0 or b = 0, or a = b = 0
2016­1­14 zero product property.notebook
January 14, 2016
Practice:
Find values of c and d that satisfy each of the
following equations.
1. cd = 0
2. (c - 5)d = 0
Solve:
a)
(x - 2)(x + 3) = 0
b) 4(x - 5)(2x + 1) = 0
2
c) 3x + 6x = 0
Factor first to get a product
equal to zero.
2016­1­14 zero product property.notebook
January 14, 2016
Steps to find the zeroes a polynomial
equation
-Set = 0
-Factor
-Set all factors = 0
-Solve
-Write solutionsas a set { }
Solve:
2
2x + 8x = 0
b2 - 11b = -24
4y2 + 31y = 8
2016­1­14 zero product property.notebook
January 14, 2016
Find the roots
4w2 - 36 = 0
x2 + 8x + 16 = 0
Applications:
Find the dimensions of the rectangle
2016­1­14 zero product property.notebook
A rectangular room is 7 feet longer than it is wide. If
the area of the room is 228 square feet, find the
length and width.
January 14, 2016