Question

How do you write the polynomial function with the least degree and zeroes -2, -1, 1?

Answer 1

`f(x) = x^3+2x^2-x-2`

Explanation:

`f(x) = (x+2)(x+1)(x-1) = (x+2)(x^2-1) = x^3+2x^2-x-2`

Any polynomial in `x` with these zeros will be a multiple - scalar or polynomial - of this `f(x)`.