FInd the values of x that make the following equation equal zero: (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 find the values of \( x \) that make the equation \((x+4)(x−2)=0\) equal to zero, we can use the Zero Product Property, which states that if the product of two factors is zero, at least one of the factors must be zero.

So we 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.