If you change the order in which you multiply a polynomial by a monomial or other polynomial, will the product be different? Explain your answer and give example.
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Answer:
When multiplying polynomials, each term from one polynomial must be multiplied by each term of the other polynomial. Since each term in a polynomial is a monomial, multiplying polynomials becomes multiplying monomials. When multiplying monomials, use the product rule for exponents.