How do you factor $4 a x^{2} + 4 a x - 24 a$ $4ax^2 + 4ax -24a$ ?

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Answer 1 · 2018-05-23T02:34:58

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

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

$4 a (x^{2} + x - 6)$ $4a(x^2 + x - 6)$

$x^{2} + x - 6$ $x^2 + x - 6$ 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.

$x + 3$ $x + 3$ and $x - 2$ $x - 2$

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

How do you factor 4ax2+4ax−24a4ax^2 + 4ax -24a?