SOLUTION: (2x^3 - x^2 + 3x -1) ÷ (x + 2) I am having trouble dividing/simplifying this problem. If it were multiplication I would have no problem using the FOIL method. But that division si

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (2x^3 - x^2 + 3x -1) ÷ (x + 2) I am having trouble dividing/simplifying this problem. If it were multiplication I would have no problem using the FOIL method. But that division si      Log On


   

Question 422023: (2x^3 - x^2 + 3x -1) ÷ (x + 2)
I am having trouble dividing/simplifying this problem. If it were multiplication I would have no problem using the FOIL method. But that division sign throws me off.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


(2x³ - x² + 3x -1) ÷ (x + 2)

            2x² -  5x + 13
x + 2) x² -  x² +  3x -  1
      2x² + 4x²
           -5x² +  3x
           -5x² - 10x
                  13x -  1
                  13x + 26
                      - 27
                 -27 
2x² - 5x + 13 + —————
                x + 2

Simplify the signs on the remainder fraction:

                  27 
2x² - 5x + 13 - —————
                x + 2

Edwin