Divide x^2+8x+15 by x+3

$x^{2} + 8 x + 15$ by $x + 3$

Step 1

Write the problem as a mathematical expression.

$\frac{x^{2} + 8 x + 15}{x + 3}$

Step 2

Factor $x^{2} + 8 x + 15$ 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 $15$ and whose sum is $8$ .

$3, 5$

Write the factored form using these integers.

$\frac{(x + 3) (x + 5)}{x + 3}$

Step 3

Cancel the common factor of $x + 3$ .

Cancel the common factor.

$\frac{(x + 3) (x + 5)}{x + 3}$

Divide $x + 5$ by $1$ .

$x + 5$

Divide x^2+8x+15 by x+3

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