McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
Practice Test
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Exercise 19 Page 535

Make sure you rewrite the equation leaving all the terms on one side, and that you factor out the greatest common factor if it exists. Then, apply the Zero Product Property.

0, 12

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's start by writing all the terms on one side of the equals sign. We will also factor out a greatest common factor, if we find one.
a^2=12a
a^2-12a=12a-12a
a^2-12a=0
a(a-12)=0

Solving

To solve this equation, we will apply the Zero Product Property.
a(a-12)=0
lca=0 & (I) a-12=0 & (II)
la_1=0 a_2=12
We found that the solutions to the given equation are a=0 and a=12.

Checking the Answer

To check our answer, we will graph the related function y=x(x-12) using a calculator. Note that in the calculator we will use the variable x instead of a.

We can see that the x-intercepts are 0 and 12. Therefore, the solutions are correct.