Finite Math Examples

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

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

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

$26$ .

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Step 1.1.1.1

Factor

26

$26$ out of

- 26

$- 26$ .

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

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