Finite Math Examples

$10 x + 36 - 38 x - 47$

Step 1

Simplify.

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Step 1.1

Subtract $38 x$ from $10 x$ .

$- 28 x + 36 - 47$

Step 1.2

Subtract $47$ from $36$ .

$- 28 x - 11$

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.

$p = \pm 1, \pm 11$

$q = \pm 1, \pm 2, \pm 4, \pm 7, \pm 14, \pm 28$

Step 3

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

$\pm 1, \pm \frac{1}{2}, \pm \frac{1}{4}, \pm \frac{1}{7}, \pm \frac{1}{14}, \pm \frac{1}{28}, \pm 11, \pm \frac{11}{2}, \pm \frac{11}{4}, \pm \frac{11}{7}, \pm \frac{11}{14}, \pm \frac{11}{28}$