Divide Polynomials using Synthetic Division
Related Topics:
More Lessons for Grade 9
Math Worksheets
Examples, solutions, videos, worksheets, and activities to help Algebra students learn about dividing polynomials using synthetic division.
When can you use synthetic division?
You can only use synthetic division to divide polynomials when the divisor is a linear expression with a leading coefficient of 1.
How to divide polynomials using synthetic division?
1. Write down the coefficients of the dividend (insert dummy terms if necessary).
2. Change the sign of the constant in the divisor.
3. Bring down the first coefficient of the dividend.
4. Multiply, add, repeat.
5. The answer is the sequence of coefficients of the new polynomial but one degree less than the original polynomial.
6. The last term is the remainder, put that over the divisor.
The following diagram gives an example how to divide polynomials using synthetic division. Scroll down the page for more examples and solutions.
Intuitive Math Help
Algebra - Synthetic Division Part 2
Intuitive Math Help
Algebra - Synthetic Division Part 3
Intuitive Math Help Dummy Terms
Polynomial Synthetic Division
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
More Lessons for Grade 9
Math Worksheets
Examples, solutions, videos, worksheets, and activities to help Algebra students learn about dividing polynomials using synthetic division.
When can you use synthetic division?
You can only use synthetic division to divide polynomials when the divisor is a linear expression with a leading coefficient of 1.
How to divide polynomials using synthetic division?
1. Write down the coefficients of the dividend (insert dummy terms if necessary).
2. Change the sign of the constant in the divisor.
3. Bring down the first coefficient of the dividend.
4. Multiply, add, repeat.
5. The answer is the sequence of coefficients of the new polynomial but one degree less than the original polynomial.
6. The last term is the remainder, put that over the divisor.
The following diagram gives an example how to divide polynomials using synthetic division. Scroll down the page for more examples and solutions.
Intuitive Math Help
Intuitive Math Help
Intuitive Math Help Dummy Terms
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.