Q: Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?

A: multiply a monomial and a monomial, [ we need not to use the distributive
property; but we do use the property when
dealing with the multiplication of monomial and
binomial/trinomial/polynomial. [ [ Example 1:
Monomial ? monomial (4x^3) ? (3x^2) = (4 ? 3) ?
(x^3 ? x^2) = 12 ? x5 = 12x5Notice, there isn't the application of law. Example 2: Monomial ?
binomial x(x+4) = x^2 + 4x This problem

requires
the distributive property. You need to multiply
each term in the parentheses by the monomial
(distribute the x across the parentheses). Example
3: Monomial ? trinomial 2x(x^2 +3x +4) = 2x^3 + 6x^2 + 8x Notice the distributive property at work
again. Example 4: Monomial ? polynomial 3x^
2(x^3 -3x^2 +6x -5) = 3x^5 - 9x^4 + 18x^3 -
15x^2 ] ] ]

hatuti|Points 354|

hatuti|Points 354|

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Asked 8/1/2013 6:38:32 PM

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