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

Question

(x+4)(x−2)=0.

(1 point)
Responses

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

x=2 and x=4

x=−2 and x=−4

Answer 1

To find the values of \( x \) that make the equation \( (x+4)(x-2) = 0 \) equal to zero, we can set each factor equal to zero:

1. \( x + 4 = 0 \)

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

2. \( x - 2 = 0 \)

   • Solving for \( x \): \[ x = 2 \]

Thus, the solutions to the equation \( (x+4)(x-2) = 0 \) are \( x = -4 \) and \( x = 2 \).

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