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

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Answer 1 · 2018-05-23T02:34:58

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

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)#