Precalculus Examples

$P (x) = 1 x^{3} - 6 x^{2} + 12 x - 8$

Step 1

Multiply $x^{3}$ by $1$ .

$x^{3} - 6 x^{2} + 12 x - 8$

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.

$p = \pm 1, \pm 2, \pm 4, \pm 8$

$q = \pm 1$

Step 3

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

$\pm 1, \pm 2, \pm 4, \pm 8$