   Chapter 4.5, Problem 20PS

Chapter
Section
Textbook Problem

For Problems 11-52, perform the indicated divisions. (Objective 1) 4 x 3 − 21 x 2 + 3 x + 10 x − 5

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 long-division method.

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

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

The product obtained is subtracted from the dividend.

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

Calculation:

Consider the expression 4x321x2+3x21x5.

The following steps are used to solve the problem.

First multiply the divisor by  4x2 and write the product 4x320x2  under the dividend and subtract.

The value obtained is equals to x2.

Now multiply the divisor by x and write the product x2+5x under the dividend subtract.

The value obtained is equals to 2x.

Now multiply the divisor by 2 and write the product 2x+10  under the dividend and

Simplify.

x54x2x24x321x2+3x+10        4x320x2         _              x2+3x                      x2+5x                 _                     2x+10                        2x+10

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

In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 61. x2x12

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Divide: 90060

Elementary Technical Mathematics

The implied domain of is: (1, ∞) (−∞, 1) x ≠ 1 (−1, 1)

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