Finite Math Examples

$\frac{- 5 - 4 x}{x^{3} + 6 x^{2} + 8 x}$

Step 1

To calculate the remainder, first divide the polynomials.

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Step 1.1

Reorder $- 5$ and $- 4 x$ .

$\frac{- 4 x - 5}{x^{3} + 6 x^{2} + 8 x}$

Step 1.2

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$x^{3}$

$6 x^{2}$

$8 x$

$0$

$4 x$

$5$

Step 1.3

The final answer is the quotient plus the remainder over the divisor.

$0 + \frac{x^{3} + 6 x^{2} + 4 x - 5}{x^{3} + 6 x^{2} + 8 x}$

Step 2

Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder.

$x^{3} + 6 x^{2} + 4 x - 5$