SOLUTION: Please help me solve this question Use polynomial division to rewrite the following rational expression. (30x^3-8x^2-6x-3)/(5x+2) The answer should take the following form

Algebra ->  Finance -> SOLUTION: Please help me solve this question Use polynomial division to rewrite the following rational expression. (30x^3-8x^2-6x-3)/(5x+2) The answer should take the following form      Log On


   

Question 1085036: Please help me solve this question
Use polynomial division to rewrite the following rational expression.
(30x^3-8x^2-6x-3)/(5x+2)
The answer should take the following form, such that q(x) is the quotient, r(x) is the remainder, and b(x) is the divisor.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
             6x^2    -4x    2%2F5
      ______________________________________
5x+2  |     30x^3   -8x^2   -6x   -3
      |     30x^3   12x^2
      --------------------
             0     -20x^2   -6x
                   -20x^2   -8x
                  --------------
                     0       2x   -3
                             2x  4%2F5
                           ----------------
                             0    -3-4%2F5

Remainder is -%283%2B4%2F5%29=-%2815%2F5%2B4%2F5%29=-19%2F5.
Original rational expression after division operation,
6x%5E2-4x%2B2%2F5-19%2F%285%285x%2B2%29%29

highlight%286x%5E2-4x%2B2%2F5-19%2F%2825x%2B10%29%29