Divide (x^2+2x-63)/(x+9)

$\frac{x^{2} + 2 x - 63}{x + 9}$

Step 1

Factor $x^{2} + 2 x - 63$ 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 $- 63$ and whose sum is $2$ .

$- 7, 9$

Write the factored form using these integers.

$\frac{(x - 7) (x + 9)}{x + 9}$

Step 2

Cancel the common factor of $x + 9$ .

Cancel the common factor.

$\frac{(x - 7) (x + 9)}{x + 9}$

Divide $x - 7$ by $1$ .

$x - 7$

Divide (x^2+2x-63)/(x+9)

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