Writing quotients for algebra problems.

[bobbysgirl]

I have been trying for a week to solve this problem and now am completely frustrated. I need to write the quotient for the following:
(2x^3+x^2-x+4)/(2x-5).

I cannot figure out how to do this one problem.

 

[galactus]

Long, synthetic, whatever you wanna use. I'll use long. Follow:

          x^2+3x     +7
       -------------------
2x-5|2x^3+x^2-x+4
        2x^3-5x^2
       ------------------
                6x^2 -x +  4
                6x^2 -15x
               -------------------
                         14x+4
                         14x-35
                       -----------------
                                39

Therefore,

\(\displaystyle \L\\x^{2}+3x+7+\frac{39}{2x-5}\)

It didn't line up too well, but hopefully yoy can follow.

 

[bobbysgirl]

Quotients

Okay,
I think I understand. Thank you!