SOLUTION: x^4 - x^3 - 9x^2 +14x - 4 /x^2 - 3x + 1 answer:x^3+2x^2+9x+8 need break down of how to get the answer in long division form

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^4 - x^3 - 9x^2 +14x - 4 /x^2 - 3x + 1 answer:x^3+2x^2+9x+8 need break down of how to get the answer in long division form       Log On


   

Question 175600: x^4 - x^3 - 9x^2 +14x - 4 /x^2 - 3x + 1
answer:x^3+2x^2+9x+8
need break down of how to get the answer in long division form
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E4+-+x%5E3+-+9x%5E2+%2B14x+-+4%29+%2F%28x%5E2+-+3x+%2B+1%29
:
your answer of :x%5E3%2B2x%5E2%2B9x%2B8 is quite wrong the answer cannot have a term with a 3rd degree in it or we would have an x%5E5term. So the book either has it wrong or you looked at the wrong problem or there is a typo in the problem you gave us. 
 
            x2   +2x - 6
            --------------------- 
x2-3x+1 )    x4 - x3 - 9x2 -4
          -(x4 -3x3)
          ----------------
                2x3 - 9x2                               
              -(2x3 - 6x2+2x)
                     -------------------          
                     -6x2+ 2x -4 
                   -(-6x2+ 18x-6)
                    ------------------------
                             -16x+2 remainder                                

Answer: x%5E2%2B2x-6%2B%28-16x%2B2%29%2F%28x%5E2-3x%2B1%29%29