   Chapter 4.5, Problem 47PS

Chapter
Section
Textbook Problem

For Problems 11-52, perform the indicated divisions. (Objective 1) ( x 5 − 1 ) ÷ ( x − 1 )

To determine

To Find:

The value of the polynomials by performing the indicated division by binomials.

Explanation

Division of a polynomial by binomial is done by using the long-division method.

In this method to find the first term of the quotient, divide the first term of the dividend by the first term of the divisor.

Multiply the divisor with the term obtained by dividing the first term of the dividend with the first term of the quotient.

The product obtained is subtracted from the dividend.

Repeat the same process to divide the other terms of the dividend.

Calculation:

Consider the expression (x51)÷(x1).

The following steps are used to solve the division problem.

First multiply the divisor by x4 and write the product x5x4  under the dividend and subtract.

The value obtained is equal to x4.

Now multiply the divisor by x3 and write the product x4x3 under the dividend and

Subtract.

The value obtained is equal to  x3.

Now multiply the divisor by x2 and write the product x3x2 under the dividend and

Subtract.

The value obtained is equal to x2.

Now multiply the divisor by x and write the product x2x under the dividend and

Subtract.

The value obtained is equal to x.

Now multiply the divisor by 1 and write the product x 1 under the dividend and simplify.

By using the long division it is written as follows,

x1x4+x3+x2+x+1x5+0x4+0x3+0x2+0x1         x5x4              _                 x4 +0x3                            x4x3           _                         x3+0x2                         x3x2             _                                      x2+0x

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 6584 to power form. 35x5x8+72x3

Finite Mathematics and Applied Calculus (MindTap Course List)

Sketch the region in the plane consisting of all points (x, y) such that

Single Variable Calculus: Early Transcendentals, Volume I

Finding a Limit In Exercises 11-28, find the limit. limx1ex1sinx2

Calculus: Early Transcendental Functions (MindTap Course List)

The slope of the line tangent to the circle x2 + y2 = 100 at the point (6, 8) is: a) 34 b) 34 c) 43 d) 43

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 