SOLUTION: (y^3-y^2-3y-9)/(y+1) the ^ is suppose to mean its a exponent so y exponent 3 and y exponent 2 **Sorry about that

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Question 723008: (y^3-y^2-3y-9)/(y+1)
the ^ is suppose to mean its a exponent so y exponent 3 and y exponent 2
**Sorry about that

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The exponents are understood.
y^3 is the usual way to type y%5E3 and is y^2 the usual way to type y%5E2
What is not clear is what to do with that rational expression.
We can factor or divide. Maybe one of those two choices is what you wanted.

FACTORING:
%28y%5E3-y%5E2-3y-9%29%2F%28y%2B1%29=%28y-3%29%28y%5E2%2B2y%2B3%29%2F%28y%2B1%29
and we see that it cannot be simplified.
The possible rational zeros of y%5E3-y%5E2-3y-9 are -9, -3, -1, 1, 3, and 9.
It was easy to try -3, -1, 1, and 3.
Since 3 was a zero y-3 had to be a factor.
Dividing by %28y-3%29 we get y%5E2%2B2y%2B3 and
y%5E2%2B2y%2B3 cannot be factored further because it has no zeros.
(There are no real solutions to y%5E2%2B2y%2B3=0 ).

DIVIDING:
%28y%5E3-y%5E2-3y-9%29%2F%28y%2B1%29=y%5E2-2y-1-8%2F%28y%2B1%29
We get y%5E2-2y-1 for a quotient and a remainder of -8 .