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.Com
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)   (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 (No remainder)

RELATED QUESTIONS

Divide. (9x^3-10+19+6x^4)/(-2x^2+3x-3) Write your answer in the form Q(x)+ R(x)/... (answered by rfer)
(20x^4-3x^3=11x^2-7x+12)÷(4x-3) Write your answer in the form Q(x)+(R(x))/(4x-3) ,... (answered by jsmallt9)
Use long division to divide (x^4 + x^3 + 14x^2 - 9x + 12) by (x^2 - x + 1). Write the... (answered by Edwin McCravy)
Using long division, divided p(x)=-4^3+6x^2+4x-7 by(2x-3). Express your answer in the... (answered by josgarithmetic)
Perform the following division: (9x^4-18+20x^2-11x)/(-3x^2+x+2) Write your answer... (answered by Fombitz)
x^3+64)/(x+4) Write your answer in the form... (answered by Tatiana_Stebko)
Could someone help? Use polynominal long division or synthetic division to divide... (answered by stanbon)
Use synthetic division to rewrite the following fraction in the form q(x)+r(x)/d(x),... (answered by CPhill)
Use synthetic division to divide the polynomial (2x^3+11x^2-2x-25) divided by the linear... (answered by Edwin McCravy)