Multiplying by a Monomial
Multiplying by a Monomial
Monomials can be multiplied times other monomials, times binomials, times trinomials, and times polynomials in general.
Multiplying by a monomial may involve:
- applying rules for dealing with exponents
- using the distributive property
- remembering rules for multiplying signed numbers
Multiply a Monomial by a Monomial:
When multiplying monomials, use the product rule for exponents.
xm • xn = xm+n
Multiply a Monomial by a Polynomial:
When multiplying a monomial by a polynomial, use the distributive property.
The traditional statement of the distributive property shows a monomial times a binomial:
a • (b + c) = a • b + a • c
This statement can be expanded when more terms are involved:
a • (b + c + d + … + n) = ab + ac + ad + … + an.
Monomial Multiplication with Algebra Tiles:
This set up of Algebra tiles gives you a “visual” demonstration of multiplying monomial x times binomial (x + 3).
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