Simplify (x^2-4x-32)/(x+4)

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

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 $- 4$ .

$- 8, 4$

Write the factored form using these integers.

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

Step 2

Cancel the common factor of $x + 4$ .

Cancel the common factor.

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

Divide $x - 8$ by $1$ .

$x - 8$

Simplify (x^2-4x-32)/(x+4)

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