Question

Identify the dividend and the divisor of the rational expression, (x^4 + 2x^3 − x^2 − 2x + 5)/x−1

Answer 1

The given rational expression:

`(x^4+2x^3-x^2-2x+5)/(x-1)`

In polynomials, dividend, D is given by:

`\begin{gathered} D=dQ+R \\ \text{Where:} \\ D\text{ is the dividend} \\ d\text{ is the divisor} \\ Q\text{ is the quotient, and } \\ R\text{ is the remainder} \end{gathered}`

Hence, the dividend in the given rational expression is:

`x^4+2x^3-x^2-2x+5`

And the divisor is:

`x-1`

The first o