Question

. Solve (x+2)(x−7)=0
using the Zero Product property.(4 points)
x =

x =


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Answer 1

To solve the equation \((x+2)(x-7)=0\) using the Zero Product Property, we set each factor equal to zero:

1. \(x + 2 = 0\)
2. \(x - 7 = 0\)

Now, solve each equation:

1. For \(x + 2 = 0\):
\[
x = -2
\]

2. For \(x - 7 = 0\):
\[
x = 7
\]

Thus, the solutions to the equation \((x+2)(x-7) = 0\) are:

\[
x = -2 \quad \text{and} \quad x = 7
\]

So:
- \(x = -2\)
- \(x = 7\)