Question

What is a cubic polynomial function in standard form with zeros 5, 2, and -5?

Answer 1

`f(x) = x^3-2x^2-25x+50`

Explanation:

`f(x) = (x-5)(x+5)(x-2)`

`= (x^2-25)(x-2)`

`= x^3-2x^2-25x+50`

Standard form sorts the powers of `x` (or whatever variable you are using) in descending order.

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