SOLUTION: Perform the following division: 6x^4+17x^3+16x^2+14x+12/2x+3 Write your answer in the form Q(x)+ R(x)/2x+3, where Q(x)is the quotient and R(x)is the remainder of the division.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the following division: 6x^4+17x^3+16x^2+14x+12/2x+3 Write your answer in the form Q(x)+ R(x)/2x+3, where Q(x)is the quotient and R(x)is the remainder of the division.      Log On


   

Question 274656: Perform the following division:
6x^4+17x^3+16x^2+14x+12/2x+3
Write your answer in the form Q(x)+ R(x)/2x+3, where Q(x)is the quotient and
R(x)is the remainder of the division.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
       3x^3+ 4x^2+ 2x  + 4
      ________________________
2x+3 / 6x^4+17x^3+16x^2+14x+12
       6x^4+ 9x^3
       ----------
             8x^3+16x^2
             8x^3+12x^2
             ----------
                   4x^2+14x
                   4x^2+ 6x
                   --------
                         8x+12
                         8x+12
                         -----
                             0

So %286x%5E4%2B17x%5E3%2B16x%5E2%2B14x%2B12%29%2F%282x%2B3%29+=+3x%5E3%2B+4x%5E2%2B+2x++%2B+4 (No remainder)