SOLUTION: Hi, I'm having a lot of trouble on simplifying this fraction: (8x^3-6x^2-x+15)/(2x-3) At first I got ((2x^2-1)(x-3))/(2x-3), but my teacher said that it was wrong. Can someone

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, I'm having a lot of trouble on simplifying this fraction: (8x^3-6x^2-x+15)/(2x-3) At first I got ((2x^2-1)(x-3))/(2x-3), but my teacher said that it was wrong. Can someone       Log On


   



Question 862055: Hi, I'm having a lot of trouble on simplifying this fraction:
(8x^3-6x^2-x+15)/(2x-3)
At first I got ((2x^2-1)(x-3))/(2x-3), but my teacher said that it was wrong. Can someone help me?

Found 2 solutions by Help Math, solver91311:
Answer by Help Math(4) About Me  (Show Source):
You can put this solution on YOUR website!
(8x^3-6x^2-x+15)/(2x-3)=4x^2+3x+(27)/(2x-3)+4

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The fraction cannot be simplified. Use polynomial long division to divide into the numerator and you get a remainder. I'll leave it to you to do the work to find that remainder and prove the above assertion.

John

My calculator said it, I believe it, that settles it
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