Question

Can someone guide me through the steps of (3x-x^2)/(2x-2)? I understand the concept of polynomial long division, I am just confused on how to deal with the coefficient 2 on the 2x in the denominator.

Answer 1

\[2(2-x+\frac{ 2 }{ x-1 })\]

Answer 2

Why is the 2 taken out of 2x-1?

Answer 3

It becomes simpler to solve

Answer 4

Oh... so you temporarily take it out, do the math, then add it back in to the final answer.

Answer 5

exactly, a little tricky

Answer 6

Thanks!

Answer 7

you're welcome

Answer 8

Oh and sorry it should be 1/2 not 2 since it was on the denominator

Answer 9

so final equation is actually
\[\frac{ 1 }{ 2 }(2-x+\frac{ 2 }{ x-1 })\]