/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 19 Use long division to divide. \... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 19

Use long division to divide. \((7 x+3) \div(x+2)\)

Short Answer

Expert verified
The result of the division \((7x+3) \div (x+2)\) is \(7 - \frac{11}{x+2}\), if \(x+2 \ne 0\). Please note that this result is generally expressed as a quotient and a remainder. So, the quotient is \(7\) and the remainder is \(-11\).

Step by step solution

01

Set up the long division.

First, set up the long division exactly the same way as with numeric long division. Write the dividend \((7x + 3)\) under the division bar and divisor \((x + 2)\) outside and to the left of the division bar.
02

Divide the first term of the divisor into the first term of the dividend.

Divide the first term of the divisor \(x\) into the first term of the dividend \(7x\). The result is 7, that's the first term of the answer.
03

Multiply and subtract

The next step is to multiply the divisor by the result of the previous step and subtract it from the dividend. In this case, \((x+2)*7=7x+14\). Subtract this result from the original dividend. \(7x+3-(7x+14)= -11\)
04

Determine the remainder

Now, the result \(-11\) will be lower than \(x + 2\), so you are done with the division and \(-11\) will be our remainder.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?

Solve the inequality and graph the solution on the real number line. \((x-3)^{2} \geq 1\)

Use a graphing utility to graph the equation. Use the graph to approximate the values of \(x\) that satisfy each inequality. \(y=-x^{2}+2 x+3 \quad\) (a) \(y \leq 0 \quad\) (b) \(y \geq 3\)

Solve the inequality and graph the solution on the real number line. \(x^{2}+4 x+4 \geq 9\)

The game commission introduces 100 deer into newly acquired state game lands. The population \(N\) of the herd is modeled by \(N=\frac{20(5+3 t)}{1+0.04 t}, \quad t \geq 0\) where \(t\) is the time in years (see figure). (a) Find the populations when \(t=5, t=10,\) and \(t=25 .\) (b) What is the limiting size of the herd as time increases?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.