Divide (x^2+7x+10)/(x+2)

$\frac{x^{2} + 7 x + 10}{x + 2}$

Step 1

Factor $x^{2} + 7 x + 10$ 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 $10$ and whose sum is $7$ .

$2, 5$

Write the factored form using these integers.

$\frac{(x + 2) (x + 5)}{x + 2}$

Step 2

Cancel the common factor of $x + 2$ .

Cancel the common factor.

$\frac{(x + 2) (x + 5)}{x + 2}$

Divide $x + 5$ by $1$ .

$x + 5$

Divide (x^2+7x+10)/(x+2)

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