Question

Match the reasons with the statements. GIVEN: x2 + 6x + 2x + 12 = 0 TO PROVE: x = -6 or x = -2 1. x2 + 6 x + 2 x + 12 = 0 Combining like terms 2. x2 + 8 x + 12 = 0 Distributive Postulate 3. ( x + 6)( x + 2) = 0 Subtraction property of equality 4. x + 6 = 0 or x + 2 = 0 Given 5. x = -6 or x = -2 Zero product postulate

Answer 1

Answer:

Step-by-step explanation:

Given x² + 8 x + 12 = 0

TO PROVE: x = -6 or x = -2

Distributive Postulate

x² + 6x  + 2x + 12 = 0

Combining like terms

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

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

Zero product postulate

=> x + 2 = 0   or x + 6 = 0

Subtraction property of equality

=> x  = -2  or x = -6