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If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example:

a (b + c + d) = ab + ac + ad

More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example:

(a + b)(c + d) = ac + ad + bc + bd

All this can be derived from the distributive property (just apply the distributive property repeatedly).

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Q: Do you use the distributive property with a monomial and a polynomial?
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