Finite Math Examples

$516 - 22 - 26 \cdot \frac{f}{26}$

Step 1

Simplify.

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Step 1.1

Simplify each term.

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Step 1.1.1

Cancel the common factor of $26$ .

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Step 1.1.1.1

Factor $26$ out of $- 26$ .

$516 - 22 + 26 (- 1) \cdot \frac{f}{26}$

Step 1.1.1.2

Cancel the common factor.

$516 - 22 + 26 \cdot - 1 \cdot \frac{f}{26}$

Step 1.1.1.3

Rewrite the expression.

$516 - 22 - 1 \cdot f$

Step 1.1.2

Rewrite $- 1 f$ as $- f$ .

$516 - 22 - f$

Step 1.2

Simplify the expression.

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Step 1.2.1

Subtract $22$ from $516$ .

$494 - f$

Step 1.2.2

Reorder $494$ and $- f$ .

$- f + 494$

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.

$p = \pm 1, \pm 2, \pm 13, \pm 19, \pm 26, \pm 38, \pm 247, \pm 494$

$q = \pm 1$

Step 3

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

$\pm 1, \pm 2, \pm 13, \pm 19, \pm 26, \pm 38, \pm 247, \pm 494$