# How do you write a polynomial function of least degree and leading coefficient 1 when the zeros are 3, -2, -1+i?

$p \left(x\right) = \left(x - 3\right) \left(x + 2\right) \left(x + 1 - i\right) \left(x + 1 + i\right)$
$a + b i$ is a root $\implies a - b i$ is another root