Give an example of an odd polynomial of degree 3, which is zero when x=-3.

Odd polynomials are normally 3rd degree

so

zero when x=-3

if a zero is r1 then a factor is (x-r1)

so

(x - (-3)) = (x+3)

odd means f (-x) = - f (x)

we have 1 root only so

(x+3) ³=

the polynomail is f (x) = (x+3) ³