SOLUTION: what is the domain of the function g(x)=6x/x^3+x? how do i form a polynomial whos zeros and degree are given (zeros: -2,2,9; degree: 3)? thank you

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Question 459330: what is the domain of the function g(x)=6x/x^3+x?

how do i form a polynomial whos zeros and degree are given (zeros: -2,2,9; degree: 3)?
thank you
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
g(x)=6x/x^3+x
The domain is all real numbers except x=0.
.
x=-2, x=2, x=9
(x+2)(x-2)(x-9)=0
x^3-9x^2-4x+36=0
.
Ed