Question

If one factor of x2+2x-24 is (x+6), what is the other factor

Answer 1

Answer:

(x-4)

Step-by-step explanation:

Step 1 : Write +2x as a difference

= x^2-4x+6x-24

Step 2: Factorize out common terms

= x(x-4)+6(x-4)

Factorize out (x-4)

(x-4)(x+6)

$x^{2} +2x-24\\Write+2x -as-a-difference\\x^{2} -4x+6x-24\\Factor out common terms\\x(x-4)+6(x-4)\\Factor out (x+4)\\(x-4)(x+6)$