SOLUTION: Show all work. Find the quotient: (y^4 +3y -1)/(y^2 -3)

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Question 636667: Show all work. Find the quotient: (y^4 +3y -1)/(y^2 -3)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%5E4%2B3y-1%29%2F%28y%5E2-3%29 = %28y%5E4%2B0y%5E3%2B0y%5E2%2B3y-1%29%2F%28y%5E2%2B0y-3%29 =

                        y² + 0y + 3 
y² + 0y - 3)y4 + 0y³ + 0y² + 3y - 1
            y4 + 0y³ - 3y²
                 0y³ + 3y² + 3y
                 0y³ + 0y² - 0y
                       3y² + 3y - 1
                       3y² + 0y - 9
                             3y + 8

= y² + 0y + 3 + %283y%2B8%29%2F%28y%5E2%2B0y-3%29 =

= y² + 3 + %283y%2B8%29%2F%28y%5E2-3%29

Edwin