Find the values of x that make the following equation equal zero:

Question

(x+4)(x−2)=0.


(1 point)
Responses

x=−2 and x=4
x=−2 and x=4

x=−4 and x=2
x=−4 and x=2

x=−2 and x=−4
x=−2 and x=−4

x=2 and x=4

Answer 1

To solve the equation \((x+4)(x−2)=0\), we can set each factor to zero:

1. \(x + 4 = 0\)

   • Solving for \(x\) gives: \[ x = -4 \]

2. \(x - 2 = 0\)

   • Solving for \(x\) gives: \[ x = 2 \]

Thus, the values of \(x\) that make the equation equal to zero are \(x = -4\) and \(x = 2\).

The correct response is: x = -4 and x = 2.