Chapter 6.7, Problem 1OE

To determine

To rewrite: the terms of the divisor and the divisor and the dividend before doing the long division..

Answer to Problem 1OE

  $\begin{array}{l}Dividend=3x^3+x^2+5x-2\\ Divisor=x+1\end{array}$

Explanation of Solution

Given information:

  $\frac{x^2+3x^3+5x-2}{x+1}$

Formula used:

Dividing the polynomials , each polynomial to be arranged in decreasing degree of the variable.

The missing terms in decreasing degree of variable to filled by using zero coefficients.

Calculation:

Consider ,

  $\begin{array}{l}Dividend=x^2+3x^3+5x-2\\ Divisor=x+1\end{array}$

Now,

  $\begin{array}{l}Dividend=3x^3+x^2+5x-2\\ Divisor=x+1\end{array}$

Thus, the polynomials are arranged in descending degree of variable.