SOLUTION: x^3 + 2x^2 - 5x + 12/ x+4 answer:x^2-2x+3 need a full break down of how my text book got that answer i can go as far as getting the first part of the answer which is x^2 if

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^3 + 2x^2 - 5x + 12/ x+4 answer:x^2-2x+3 need a full break down of how my text book got that answer i can go as far as getting the first part of the answer which is x^2 if      Log On


   

Question 174642: x^3 + 2x^2 - 5x + 12/ x+4

answer:x^2-2x+3
need a full break down of how my text book got that answer i can go as far as getting the first part of the answer which is x^2 if any one is generous enough as to how my book got -2x+3 that would be nice or a full break down
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 + 2x^2 - 5x + 12/ x+4
        x2   -2x   +3 
      --------------------- 
x - 4 ) x3 + 2x2 - 5x +  12
        x3 + 4x2
        --------
             -2x2 - 5x
             -2x2 -8x
             ---------
                    3x +  12
                    3x +  12
                   --------
                         0
Answer: x2 -2x  +3