Divide (x^2+11x+30)/(x+6)

$\frac{x^{2} + 11 x + 30}{x + 6}$

Factor $x^{2} + 11 x + 30$ using the AC method.

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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 $30$ and whose sum is $11$ .

$5, 6$

Write the factored form using these integers.

$\frac{(x + 5) (x + 6)}{x + 6}$

Cancel the common factor of $x + 6$ .

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Cancel the common factor.

$\frac{(x + 5) (x + 6)}{x + 6}$

Divide $x + 5$ by $1$ .

$x + 5$

Divide (x^2+11x+30)/(x+6)

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