Question

How do you create a polynomial p which has zeros `c=+-2, c=-1`, and the leading term is `117x^4`?

Answer 1

`117*(x-2)(x+2)(x+1)^2`

Explanation:

That is one of many. To find this, remember that to say that a polynomial has a zero at c is to say that P is proportional to (x-c)^n where n is the multiplicity of the root.