Divide (x^2-5x+6)/(x-2)

$\frac{x^{2} - 5 x + 6}{x - 2}$

Step 1

Factor $x^{2} - 5 x + 6$ 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 $6$ and whose sum is $- 5$ .

$- 3, - 2$

Write the factored form using these integers.

$\frac{(x - 3) (x - 2)}{x - 2}$

Step 2

Cancel the common factor of $x - 2$ .

Cancel the common factor.

$\frac{(x - 3) (x - 2)}{x - 2}$

Divide $x - 3$ by $1$ .

$x - 3$

Divide (x^2-5x+6)/(x-2)

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