Divide (x^2+x-30)/(x-5)

$\frac{x^{2} + x - 30}{x - 5}$

Step 1

Factor $x^{2} + x - 30$ 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 $- 30$ and whose sum is $1$ .

$- 5, 6$

Write the factored form using these integers.

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

Step 2

Cancel the common factor of $x - 5$ .

Cancel the common factor.

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

Divide $x + 6$ by $1$ .

$x + 6$

Divide (x^2+x-30)/(x-5)

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