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

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) (Show Source): You can put this solution on YOUR website!

             6x^2    -4x    
      ______________________________________
5x+2  |     30x^3   -8x^2   -6x   -3
      |     30x^3   12x^2
      --------------------
             0     -20x^2   -6x
                   -20x^2   -8x
                  --------------
                     0       2x   -3
                             2x  
                           ----------------
                             0

Remainder is .
Original rational expression after division operation,

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