Precalculus Examples

$h (t) = 18 t - 3 t^{2}$

Step 1

Reorder $18 t$ and $- 3 t^{2}$ .

$- 3 t^{2} + 18 t$

Step 2

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and $q$ is a factor of the leading coefficient.

$p = \pm 0$

$q = \pm 1, \pm 3$

Step 3

Find every combination of $\pm \frac{p}{q}$ . These are the possible roots of the polynomial function.

$0$