Question

Write a polynomial of degree 3 whose only roots are x=2 and x=2/5. Is there another polynomial of degree 3 that has the same roots?

Answer 1

One such polynomial might be


`(x-2)\left(x-\frac25\right)^2`

Another with the same roots would be


`(x-2)^2\left(x-\frac25\right)`