Find the values of x that make the following equation equal zero: (x+4)(x−2)=0 .(1 point)

Question

Responses

x=−2 and x=4
x equals negative 2 and x equals 4

x=−4 and x=2
x equals negative 4 and x equals 2

x=2 and x=4
x equals 2 and x equals 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 use the fact that a product is zero if at least one of the factors is zero.

Setting each factor to zero:

1. \( x + 4 = 0 \)
   This gives \( x = -4 \).

2. \( x - 2 = 0 \)
   This gives \( x = 2 \).

Thus, the solutions are \( x = -4 \) and \( x = 2 \).

The correct response is: x=−4 and x=2
x equals negative 4 and x equals 2