Question

How do you write a polynomial of least degree with roots 0 and -9?

Answer 1

`x^2+9x`

Explanation:

If a polynomial has roots `color(red)(0)` and `color(blue)(-9)`
then it has factors:
`color(white)("XXX")(x-color(red)0)=x` and `(x-(color(blue)(-9)))=(x+9)`

`x xx(x+9)= color(green)(x^2+9x)`