# Multiplication of Polynomials

Pronunciation: /ˌmʌl.tɪ.plɪˈkeɪ.ʃən ʌv ˌpɒl.əˈnoʊ.mi.əlz/ Explain

Multiplication of polynomials consists of multiplying each of the terms of the two polynomials, then adding the like terms.[1] The degree of the resulting polynomial is the sum of the degrees of the polynomials being multiplied. The factors of the resulting polynomial are each of the factors of both polynomials being multiplied.

#### Example 1

StepEquationsDescription
1These are the polynomials to multiply.
2Write the polynomials one under the other.
3Multiply the first term of the first polynomial and the first term of the second polynomial.
4Multiply the second term of the first polynomial and the first term of the second polynomial.
5Multiply the third term of the first polynomial and the first term of the second polynomial.
6Multiply the first term of the first polynomial and the second term of the second polynomial.
7Multiply the second term of the first polynomial and the second term of the second polynomial.
8Multiply the third term of the first polynomial and the second term of the second polynomial.
9Add the like terms of the products.
10Finished solution.
Example 1

### References

1. McAdams, David E.. All Math Words Dictionary, multiplication of polynomials. 2nd Classroom edition 20150108-4799968. pg 121. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Boyden, Wallace C., A.M.. A First Book in Algebra. pg 48. 1895. Last Accessed 9/2/2018. http://www.gutenberg.org/files/13309/13309-pdf.pdf. Buy the book

### Cite this article as:

McAdams, David E. Multiplication of Polynomials. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/m/multiplicationofpoly.html.

### Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
9/4/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
12/18/2009: Added revision. (McAdams, David E.)
1/20/2009: Initial version. (McAdams, David E.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License