Question

How do you write a polynomial in standard form given zeros 5, -4 and 1?

Answer 1

`f(x) = x^3-2x^2-19x+20`

Explanation:

Convert each zero into a linear factor to define:

`f(x) = (x-5)(x+4)(x-1) = x^3-2x^2-19x+20`

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