How do we multiply two polynomials if neither is a monomial? For example, consider (3x + 7)(x² + 4x + 5). Binomial Trinomial One way to perform this multiplication is to distribute 3x throughout the trinomial 3x(x2 + 4x + 5) and 7 throughout the trinomial 7(x + 4x + 5). Then combine the like terms that result.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter6: Polynomials
Section6.3: Multiply Polynomials
Problem 297E: Which method do you prefer to use when multiplying a trinomial by a binomial: the Distributive...
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How do we multiply two polynomials if neither is a monomial? For example, consider
(3x + 7)(x² + 4x + 5).
Binomial
Trinomial
One way to perform this multiplication is to distribute 3x throughout the trinomial
3x(x2 + 4x + 5)
and 7 throughout the trinomial
7(x + 4x + 5).
Then combine the like terms that result.
Transcribed Image Text:How do we multiply two polynomials if neither is a monomial? For example, consider (3x + 7)(x² + 4x + 5). Binomial Trinomial One way to perform this multiplication is to distribute 3x throughout the trinomial 3x(x2 + 4x + 5) and 7 throughout the trinomial 7(x + 4x + 5). Then combine the like terms that result.
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