How do you factor #4ax^2 + 4ax -24a#?

1 Answer
May 23, 2018

Answer:

#4a(x + 3)(x - 2)#

Explanation:

In order to fully factorize this polynomial, take out the largest term possible from each term. In this case, 4a is the largest term.

#4a(x^2 + x - 6)#

#x^2 + x - 6# can also be factorized. We need to find two terms which:

When multiplied produces -6
When added produces 1

Our two numbers are 3 and -2.

#x + 3# and #x - 2#

#4a(x + 3)(x - 2)#