SOLUTION: Show all work. Find the quotient: (y^4+2y-3)/(y^2+8)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Show all work. Find the quotient: (y^4+2y-3)/(y^2+8)      Log On


   

Question 661194: Show all work. Find the quotient: (y^4+2y-3)/(y^2+8)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: I'm going to use 'x' in place of 'y' in the long division

Use polynomial long division to get



So %28y%5E4%2B2y-3%29%2F%28y%5E2%2B8%29=y%5E2-8 remainder 2y%2B61

Note: I'm switching from x back to y.

You can also say that

%28y%5E4%2B2y-3%29%2F%28y%5E2%2B8%29=y%5E2-8%2B%282y%2B61%29%2F%28y%5E2%2B8%29