# How do you find the quotient of (r^2-12r+11)div(r-1)?

Aug 24, 2017

See a solution process below:

#### Explanation:

We can rewrite this expression as:

$\frac{{r}^{2} - 12 r + 11}{r - 1}$

We can factor the numerator as:

$\frac{\left(r - 11\right) \left(r - 1\right)}{r - 1}$

We can now cancel common terms in the numerator and denominator to give:

$\frac{\left(r - 11\right) \textcolor{red}{\cancel{\textcolor{b l a c k}{\left(r - 1\right)}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{r - 1}}}} \implies$

$r - 11$ where $\left(r - 1\right) \ne 0$ or $r \ne 1$