# How do you write a polynomial in standard form given zeros 5, -2 and 0?

$p \left(x\right) = {x}^{3} - 3 {x}^{2} - 10 x$
$p \left(x\right) = \left(x - 0\right) \left(x - 5\right) \left(x + 2\right)$->roots in factor form
$p \left(x\right) = x \left({x}^{2} - 3 x - 10\right)$FOIL $\left(x + 5\right) \left(x + 2\right)$
$p \left(x\right) = {x}^{3} - 3 {x}^{2} - 10 x$-> distribute x