# How do you find a polynomial function that has zeros 0, -3?

Apr 2, 2017

$f \left(x\right) = {x}^{2} + 3 x$
We are told that polynomial, $f \left(x\right)$ has zeros at $x = 0$ and $x = - 3$
$\therefore f \left(x\right)$ has factors $\left(x - 0\right)$ and $\left(x + 3\right)$
Hence: $f \left(x\right) = x \left(x + 3\right) \to {x}^{2} + 3 x$