Question

How do you write a polynomial in standard form given the zeros x=-3,-2,0,2?

Answer 1

The polynomial is `x^4-3x^3-4x^2+12x`

Explanation:

If zeros of the polynomial are `3, -2, 0, 2`, the factors of polynomial are

`(x-3)`, `(x+2)`, `x` and `(x-2)`.

We get the polynomial by multiplying them. Hence polynomial is

`x(x-3)(x+2)(x-2)=(x^2-3x)((x^2-4)=x^4-3x^3-4x^2+12x`