Divide m^2-11m+30 entre m-6

$m^{2} - 11 m + 30$ entre $m - 6$

Step 1

Write the problem as a mathematical expression.

$\frac{m^{2} - 11 m + 30}{m - 6}$

Step 2

Factor $m^{2} - 11 m + 30$ 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 $- 11$ .

$- 6, - 5$

Write the factored form using these integers.

$\frac{(m - 6) (m - 5)}{m - 6}$

Step 3

Cancel the common factor of $m - 6$ .

Cancel the common factor.

$\frac{(m - 6) (m - 5)}{m - 6}$

Divide $m - 5$ by $1$ .

$m - 5$

Divide m^2-11m+30 entre m-6

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