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Queston 20 of 25 Which of these operations is not closed for polynomials? A. Division B. Addition C. Subtraction

Ask by Ortega Mann. in the United States
Feb 04,2025

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Division is not closed for polynomials.

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The Deep Dive

When we talk about polynomials, addition and subtraction are like best buddies—they hang out together and produce more polynomials every time! However, when division is thrown into the mix, things can get a bit wild. Dividing one polynomial by another doesn’t always yield a polynomial, especially if you're dividing by a polynomial of higher degree. So, while you can keep adding and subtracting, division might take you on a detour! In the world of polynomials, division can yield rationals or even something more complicated, straying away from polynomials altogether. This is crucial when working in algebra, as it can affect your solutions and understanding of polynomial functions. Remember, operations that "stay within the family" of polynomials keep things nice and tidy!

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