Question

solve using factoring.
$(x + 10)(x - 12) = 0$
select the correct response:
10, 12
-12, 10
-10, 12
-12, -10

Explanation:

Step1: Apply zero - product property

If \(ab = 0\), then either \(a = 0\) or \(b = 0\). For the equation \((x + 10)(x - 12)=0\), we set each factor equal to zero:
\(x+10 = 0\) or \(x - 12=0\)

Step2: Solve for \(x\) in each equation

For \(x + 10=0\), subtract 10 from both sides:
\(x=- 10\)
For \(x - 12 = 0\), add 12 to both sides:
\(x = 12\)

Answer:

\(-10,12\)