Finite Math Examples

$f (x) = \frac{x^{3} + 5 \log (x)}{x^{4} + 1}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify $5 \log (x)$ by moving $5$ inside the logarithm.

$\frac{x^{3} + \log (x^{5})}{x^{4} + 1}$

Step 1.2

Split the fraction $\frac{x^{3} + \log (x^{5})}{x^{4} + 1}$ into two fractions.

$\frac{x^{3}}{x^{4} + 1} + \frac{\log (x^{5})}{x^{4} + 1}$

Step 2

The degree cannot be determined because $\frac{x^{3}}{x^{4} + 1} + \frac{\log (x^{5})}{x^{4} + 1}$ is not a polynomial.

Not a polynomial