SOLUTION: Using long division, find the quotient and remainder (if any). 3x^4-4x^2+4x+8/ x+1

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Question 1137499: Using long division, find the quotient and remainder (if any).
3x^4-4x^2+4x+8/ x+1

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
First ask, what is  %283x%5E4%29%2Fx?
That is 3x%5E3.   After that you do what you normally do in long division...


          3x^3
      _________________________________________
x+1   |   3x^4   0x^3    -4x^2   4x     8
      |
      |



          3x^3   -3x^2    -x     5
      _________________________________________
x+1   |   3x^4   0x^3    -4x^2   4x     8
      |
      |   3x^4   3x^3
      ---------------
           0    -3x^3   -4x^2
                -3x^3   -3x^2
               --------------
                 0      -x^2   4x
                        -x^2  -x
                       ----------
                              5x      8
                              5x      5
                             -----------
                                      3


highlight%283x%5E3-3x%5E2-x%2B5%2B3%2F%28x%2B1%29%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E4-4x%5E2%2B4x%2B8%29%2F+%28x%2B1%29

...........(3x%5E3-3x%5E2-x%2B5
x%2B1|3x%5E4%2B0%2Ax%5E3-4x%5E2%2B4x%2B8
------3x%5E4%2B3x%5E3
-----------3x%5E3-4x%5E2
------------3x%5E3-3x%5E2
-------------------x%5E2%2B4x
--------------------x%5E2-x
-------------------------5x%2B8
-------------------------5x%2B5
----------------------------+3->reminder
%283x%5E4-4x%5E2%2B4x%2B8%29%2F+%28x%2B1%29=%283x%5E3-3x%5E2-x%2B5%29%28x%2B1%29%2B3