Divide (x^2+4x-32)/(x+8)

$\frac{x^{2} + 4 x - 32}{x + 8}$

Step 1

Factor $x^{2} + 4 x - 32$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 32$ and whose sum is $4$ .

$- 4, 8$

Write the factored form using these integers.

$\frac{(x - 4) (x + 8)}{x + 8}$

Step 2

Cancel the common factor of $x + 8$ .

Cancel the common factor.

$\frac{(x - 4) (x + 8)}{x + 8}$

Divide $x - 4$ by $1$ .

$x - 4$

Divide (x^2+4x-32)/(x+8)

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