# How do you write a polynomial function of least degree with integral coefficients that has the given zeros 5, -1, 0?

A polynom is the product of (x-zeros): ${x}^{3} - 4 {x}^{2} - {5}^{x}$
$\left(x - 5\right) \left(x + 1\right) \left(x - 0\right) = {x}^{3} - 4 {x}^{2} - 5 x$ or a multiple of that.