Question

(x + 2)(x + 6) = 0

In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the _____.

a) division property of equality
b) multiplication property of equality
c) zero product property

Answer 1

zero product property

Explanation:

Answer 2

In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the zero factor property

Explanation:

(x + 2)(x + 6) = 0

LEft side is already factored.

Now we set each factor =0 and solve for x

This we call it as zero factor property.

In zero factor property , we set each factor =0 and solve for x

In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the zero factor property