Question

How do you write a polynomial function with the given zeros 1, 7, -5?

Answer 1

`f(x)=x^3-3x^2-33x+35`

Explanation:

The simplest polynomial with these zeros is:

`f(x) = (x-1)(x-7)(x+5)`

`=(x^2-8x+7)(x+5)`

`=x^3-3x^2-33x+35`

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