Divide (x^2-7x+12)/(x-3)

$\frac{x^{2} - 7 x + 12}{x - 3}$

Step 1

Factor $x^{2} - 7 x + 12$ 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 $12$ and whose sum is $- 7$ .

$- 4, - 3$

Write the factored form using these integers.

$\frac{(x - 4) (x - 3)}{x - 3}$

Step 2

Cancel the common factor of $x - 3$ .

Cancel the common factor.

$\frac{(x - 4) (x - 3)}{x - 3}$

Divide $x - 4$ by $1$ .

$x - 4$

Divide (x^2-7x+12)/(x-3)

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