# How do you write a polynomial in standard form given zeros 5, -4 and 1?

Apr 7, 2016

$f \left(x\right) = {x}^{3} - 2 {x}^{2} - 19 x + 20$
$f \left(x\right) = \left(x - 5\right) \left(x + 4\right) \left(x - 1\right) = {x}^{3} - 2 {x}^{2} - 19 x + 20$
Any polynomial in $x$ with these zeros is a multiple (scalar or polynomial) of this $f \left(x\right)$.