# How do you write a polynomial equation of least degree given the roots -2, 3?

To find the simplest polynomial with roots ${r}_{1} , {r}_{2} , \ldots , {r}_{n}$ you multiply the expressions: $\left(x - {r}_{1}\right) \cdot \left(x - {r}_{2}\right) \ldots \left(x - {r}_{n}\right)$. So here the polynomial is:
$P \left(x\right) = \left(x + 2\right) \left(x - 3\right) = {x}^{2} - x - 6$