Complete the factoring. -x² - 4x - 32 = (x + 4)( ) A) x + 8 B) 8 - x C) x - 8 D) -x - 8

Question

Quizplus · Accepted Answer

The given expression is x^2 - 4x - 32. Factoring by grouping, we look for two numbers that multiply to ac (a=1, c=-32, so ac=-32) and add to b (-4). Those numbers are -8 and +4. Since we already have (x + 4) as one factor, the other factor must be x - 8 to get the middle term -4x and the constant term -32 when multiplied out.

Complete the Factoring. -X2 - 4x - 32 = (X + 4)( )

Complete the Factoring. -X² - 4x - 32 = (X + 4)( )