Dividing Polynomials by binomials? Not sure how to do this.

Question

anonymous · Answer

$$(y^2-y+2) \div (y+2) $$ This is one of my problems.

anonymous · Answer

$$y+2\sqrt{y^2-y+2}$$ That's not a square root, I know this is the first step.

anonymous · Answer

you want a easy trick to get the answer quickly?

anonymous · Answer

$$\frac{y^2-y+2}{y+2}=\frac{y^2+2y-3y+2}{y+2}$$
$$=\frac{y^2+2y}{y+2}+\frac{-3y+2}{y+2}$$
$$y+\frac{-3y+2}{y+2}$$ now use the same gimmick for the second part

anonymous · Answer

Thanks :)

anonymous · Answer

yw
otherwise you have to just divide like you do with numbers

anonymous · Answer

unless you know synthetic division, in which case it is even easier

anonymous · Answer

1       -1    2
-2|               -2     6
_______________
           1       -3     4

answer is $y-3+\frac{4}{y+2}$