Multiplication of Polynomials

Pronunciation: /ˌmʌl tə 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
1(x^2+3x-4)*(x+2)These are the polynomials to multiply.
2First line: x^2+3x-4. Second line: x+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. Boyden, Wallace C., A.M.. A First Book in Algebra. pg 48. 1895. Last Accessed 12/18/2009. http://www.gutenberg.org/files/13309/13309-pdf.pdf.

Cite this article as:

McAdams, David E. Multiplication of Polynomials. 9/4/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/m/multiplicationofpoly.html.

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Revision History

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.)

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