SOLUTION: Use long division to find the quotient and remainder when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1

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Question 169236: Use long division to find the quotient and remainder when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Use long division to find the quotient and remainder when 
 is divided by 

We must fill in gaps in powers with terms with 0
coefficients. I also will put in 1-coefficients:

Write:
 as 

and

 as 


                         1x3 + 2x2 +  0x +  .5 
            ---------------------------------- 
2x2 + 0x - 1)2x5 + 4x4 - 1x3 - 1x2 +  0x +   7
             2x5 + 0x4 - 1x3
             ---------------
                   4x4 + 0x3 - 1x2
                   4x4 + 0x3 - 2x2
                   ---------------
                         0x3 + 1x2 +  0x
                         0x3 + 0x2 +  0x
                         ---------------
                               1x2 +  0x +   7
                               1x2 +  0x -  .5
                               ---------------
                                           7.5


                            7.5
Answer:  x3 + 2x2 + .5 + ----------
                          2x² - 1
 
Edwin
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