Question

Match the reasons with the statements.

PLS HELP! THANK YOU <3 25 POINTS

GIVEN: x 2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2

1. x2 + 6x + 2x + 12 = 0 (A) Distributive Postulate
2. x2 + 8x + 12 = 0 (B) Combining like terms
3. (x + 6)(x + 2) = 0 (C) Zero product postulate
4. x + 6 = 0 or x + 2 = 0 (D) Subtraction property of equality
5. x = -6 or x = -2 (E) Given

Answer 1

x^ 2 + 6x + 2x + 12 = 0 given

x^2 + 8x + 12 = 0 combine like terms

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

x + 6 = 0 or x + 2 = 0 Zero product postulate

x = -6 or x = -2 Subtraction property of equality