Question

How do you find a polynomial function that has zeros x=-3, 0, 1 and degree n=3?

Answer 1

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

Explanation:

`"given zeros " x=-3,x=0,x=1`

`"then factors are " (x+3),(x-0),(x-1)`

`rArrf(x)=x(x+3)(x-1)`

`color(white)(rArrf(x))=x(x^2+2x-3)`

`color(white)(rArrf(x))=x^3+2x^2-3xlarr" is a possible function"`
graph{x^3+2x^2-3x [-10, 10, -5, 5]}