Answer
$y=x^3-x$
Work Step by Step
RECALL:
If $c$ is a zero of a function, then $x-c$ is a factor of the function.
The required function has the zeros -1, 1, and 0.
This means that the function has the following factors
$\\x-(-1) = x+1,
\\x-1, \text{ and }
x$.
Thus, the function is
$y=(x+1)(x-1)(x)
\\y=(x^2-1)(x)
\\y=x^3-x$.
