Divide (x^2-15x+56)/(x-7)

$\frac{x^{2} - 15 x + 56}{x - 7}$

Step 1

Factor $x^{2} - 15 x + 56$ 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 $56$ and whose sum is $- 15$ .

$- 8, - 7$

Write the factored form using these integers.

$\frac{(x - 8) (x - 7)}{x - 7}$

Step 2

Cancel the common factor of $x - 7$ .

Cancel the common factor.

$\frac{(x - 8) (x - 7)}{x - 7}$

Divide $x - 8$ by $1$ .

$x - 8$

Divide (x^2-15x+56)/(x-7)

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