When you multiply two polynomials each of degree 1 or higher the result is always a polynomial.

Question

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When you multiply two polynomials of degree 1 or higher, you use the distributive property to multiply each term of one polynomial by each term of the other polynomial. The result will always be a polynomial because it will be a sum of products of coefficients and variables raised to various powers, which is the definition of a polynomial.

When You Multiply Two Polynomials Each of Degree 1 or Higher