An improper partial fraction. PLEASE HELP!
2x^3 + 5x^2 - x
---------------
x^2 - 2x - 3

Question

An improper partial fraction. PLEASE HELP!
2x^3 + 5x^2 - x
---------------
    x^2 - 2x - 3

phi · Answer

I would divide the bottom into the top, to get a mixed fraction

anonymous · Answer

phi... i know i have to do that. could you perhaps help me with steps on how to?

.sam. · Answer

wait

phi · Answer

Sam did it for you. If you want more info, watch this http://www.khanacademy.org/math/algebra/polynomials/v/dividing-polynomials-1

.sam. · Answer

2x    +9
               __________________________
x^2-2x-3)  2x^3 + 5x^2 - x +0
                   2x^3-  4x^2 -6x
               -----------------------
                              9x^2 +5x+0
                              9x^2-18x-27
                              --------------
                                        23x+27
 
$$ 2x +9+\frac{23x+27}{x^2-2x-3}$$

phi · Answer

The previous video goes into more examples and details http://www.khanacademy.org/math/algebra/polynomials/v/polynomial-division

anonymous · Answer

thank you! all