Concept explainers
To divide : using the long division
Answer to Problem 23RE
Explanation of Solution
Given information :
Concept Involved:
- Set up the long division.The divisor goes on the outside of the box. The dividend goes on the inside of the box. When you write out the dividend, make sure that you insert 0's for any missing terms.
- Divide 1st term of dividend by first term of divisor to get first term of the quotient.The quotient is written above the division box.Make sure that you line up the first term of the quotient with the term of the dividend that has the same degree.
- Take the term found in step 2 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.
- Subtract this from the line above.Make sure that you subtract EVERY term found in step 3, not just the first one.
- Repeat until done.You keep going until the degree of the "new" dividend is less than the degree of the divisor.Use the long division to find the other factor of the function
- 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.
The Division Algorithm : If
Calculation:
Step 1: Set up the long division. The divisor goes on the outside of the box. The dividend goes on the inside of the box. When you write out the dividend, make sure that you insert 0's for any missing terms.
Step 2: Divide 1st term of dividend by first term of divisor to get first term of the quotient. The quotient is written above the division box. Make sure that you line up the first term of the quotient with the term of the dividend that has the same degree.
Step 3: Take the term found in previous 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 until done. You keep going until the degree of the "new" dividend is less than the degree of the divisor. Use the long division to find the other factor of the function
Step 6: Take the term found in previous 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 7: Subtract this from the line above.Make sure that you subtract EVERY term found in step 3, not just the first one.
Conclusion:
By dividing the given polynomial
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning