Imagine your younger relative—of middle school age—was taking an algebra course and asked for your help. How would you teach the multiplication of polynomials to her?
1 term × 1 term (monomial times monomial)- To multiply one term by another term, first multiply the constants, [ then multiply each variable together and combine the result.
1 term × 2 terms (monomial times binomial)- Multiply the single term by each of the two terms.
2 term × 1 terms (binomial times monomial)- Multiply each of the two terms by the single term.
terms × 2 terms (binomial times binomial)- Each of the two terms in the first binomial ...
... is multiplied by ...
... each of the two terms in the second binomial.
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