If f(y)=2y3+9y2+ay-b where a and b are constant,find the values of the constant a and b hence

(1) factorize f(y) completely
(2) State the zeros of f(y)
(3) find the remainder when f(y) is divided by (y-5)

There are many values of a and b which will allow f(y) to be factored.

For example,
2y^3+9y^2-8y-36 = (2y+9)(y+2)(y-2)

I think there's something missing here.