Question

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

Answer 1

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