CPM Homework Help : INT3 Problem 1-36

George was solving the equation $(2x-1)(x+3)=4$ and he got the solutions $x=\frac { 1 } { 2 }$ and $x = -3$ . Jeffrey came along and said, “You made a big mistake! You set each factor equal to zero, but it’s not equal to zero, it’s equal to $4$ . So you have to set each factor equal to $4$ and then solve.” Who is correct? Show George and Jeffrey how to solve this equation. To be sure that you are correct, check your solutions.

Hint:

To use the Zero Product Property, you need a product equal to zero.

More Help:

Multiply the binomials, subtract $4$ to make the equation equal to zero, and factor the resulting trinomial.
Then use the Zero Product Property.

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