Finite Math Examples

$f (x) = 5 x^{4} + 13 x + 3 x^{2} - 7 x - 2$

Step 1

Subtract $7 x$ from $13 x$ .

$5 x^{4} + 3 x^{2} + 6 x - 2$

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.

$p = \pm 1, \pm 2$

$q = \pm 1, \pm 5$

Step 3

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

$\pm 1, \pm \frac{1}{5}, \pm 2, \pm \frac{2}{5}$