   Chapter 4.5, Problem 66PS

Chapter
Section
Textbook Problem

Give a step-by-step description of how you would do the following division problem. ( 4 − 3 x − 7 x 3 ) ÷ ( x + 6 )

To determine

To Find:

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

Explanation

Approach:

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

1. 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.

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

3. The product obtained is subtracted from the dividend.

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

Calculation:

Consider the expression (43x7x3)÷(x+6).

The following steps are used to solve the division problem.

First arrange the polynomial in the descending order.

Then the polynomial becomes as follows,

7x33x+4

First multiply the divisor by 7x2 and write the product 7x342x2 under the dividend and subtract.

The value obtained is equals to 42x23x.

Now multiply the divisor by 42x and write the product 42x2252x under the dividend and

Subtract.

The value obtained is equals to 249x+4.

Again multiply the divisor by 249 and write the product 249x+1494 under the dividend and

Simplify.

By using the long division it is written as follows,

7x2+42x+249x+6)7x3+0x23x+4        7x342x2      +  +_  ¯                         42x23x                              42x2252x               +_                                      249x+4<

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 516, evaluate the given quantity. log22

Finite Mathematics and Applied Calculus (MindTap Course List)

Sum of Square (SS), variance and standard deviation

Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 7-12, refer to the following figure. 9. Which points have negative y-coordinates?

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

43. Find the sum of the first 150 terms of the arithmetic sequence 6, , 3, . . . .

Mathematical Applications for the Management, Life, and Social Sciences

Which is longer, 1 km or 25 cm?

Elementary Technical Mathematics

is the binomial series for:

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

True or False: converges conditionally.

Study Guide for Stewart's Multivariable Calculus, 8th 