Question

Form a polynomial whose zeros and degree are given.

Zeros: -2, 2, 1; degree: 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)

Answer 1

Answer:
`f(x)=x^3 -x^2 -4x+4`

Explanation:

If
`a` is a root, then
`(x-a)` is a factor.

`f(x)=(x+2)(x-2)(x-1)\\\\=(x^2 -4)(x-1)\\\\=x^3 -x^2 -4x+4`