Explanation Given: x 2 + 11 x + 19 x + 4 Key concept applied: Step 1: Set up the long division. The divisor (what we are dividing by) goes on the outside of the box. The dividend (what we are dividing into) goes on the inside of the box. When you write out the dividend and divisor, make sure that you insert 0's for any missing terms. Step 2: Divide 1st term of divisor by first term of dividend to get first term of the quotient. The quotient (answer) is written above the division box. Make sure that you line up all terms of this step with the term of the dividend that has the same degree. Step 3: Take the term found in step 1 and multiply it times the divisor. Make sure that you line up all terms of this step with the term of the dividend that has the same degree. Step 4: Subtract this from the line above. Make sure that you subtract EVERY term found in step 3, not just the first one. Step 5: Repeat the process from step 1 to step 4 until done. That is till the degree of the subtracted term is less than the degree of the divisor. Step 6: Write out the answer. Your answer is the quotient that you ended up with on the top of the division box. If you have a remainder, write it over the divisor in your final answer. That is in the below format: D i v i d e n d D i v i s o r = Q u o t i e n t + Re m a i n d e r D i v i s o r (Or) D i v i d e n d = ( Q u o t i e n t ) ( D i v i s o r ) + Re m a i n d e r Formula used: D I V i d e n d = ( Q u o t i e n t ) ( D i v i s o r ) + Re m a i n d e r Calculation: Description x 2 + 11 x + 19 x + 4 Step 1: Set up the long division. The divisor (what we are dividing by) goes on the outside of the box. The dividend (what we are dividing into) goes on the inside of the box. When you write out the dividend and divisor, make sure that you insert 0's for any missing terms x 2 + 11 x + 19 x + 4 Step 2: Divide 1st term of divisor by first term of dividend to get first term of the quotient. The quotient (answer) is written above the division box. Take the quotient and multiply it times the divisor. x 2 x = x x ( x + 4 ) = x 2 + 4 x Step 3: Write the result of multiplying quotient with divisor and place it under dividend. Make sure that you line up all terms of this step with the term of the dividend that has the same degree. x x + 4 x 2 + 11 x + 19 x 2 + 4 x Step 4: Subtract this from the line above. Make sure that you subtract EVERY term found in step 3, not just the first one. x x + 4 x 2 + 11 x + 19 x 2 + 4 x ( − ) ( − ) _ 7 x + 19 Step 5: Repeat the process from step 2 to step 4 until done. That is till the degree of the subtracted term is less than the degree of the divisor Step 2: Divide 1st term of divisor by first term of dividend to get first term of the quotient. The quotient (answer) is written above the division box. Take the quotient and multiply it times the divisor. 7 x x = 7 7 ( x + 4 ) = 7 x + 28 Step 3: Write the result of multiplying quotient with divisor and place it under dividend. Make sure that you line up all terms of this step with the term of the dividend that has the same degree. x + 7 x + 4 x 2 + 11 x + 19 x 2 + 4 x ( − ) ( − ) _ 7 x + 19 7 x + 28 Calculation Continued: Repeating Step 4: Subtract this from the line above

6th Edition

ISBN: 9781264418756

Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy

Publisher: McGraw Hill

See similar textbooks

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Videos

Question

Chapter 4.4, Problem 27PE

To determine

Identity the divisor, quotient, and remainder of given long division and check by multiplication

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.4, Problem 26PE

Chapter 4.4, Problem 28PE

Chapter 4 Solutions

ISE Intermediate Algebra

Ch. 4.1 - a. A(n)_____________ is used to show repeated...Ch. 4.1 - Prob. 2PE Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 4PE Ch. 4.1 - For exercises 4-9, write an example of each...Ch. 4.1 - Prob. 6PE Ch. 4.1 - Prob. 7PE Ch. 4.1 - Prob. 8PE Ch. 4.1 - Prob. 9PE Ch. 4.1 - Prob. 10PE

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education