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18 April, 10:04

Under which operations are polynomials closed? Addition, subtraction, multiplication, and division addition and subtraction only addition, subtraction, and multiplication only addition and multiplication only

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Answers (2)
  1. 18 April, 11:28
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    Addition, Subtraction, and Multiplication
  2. 18 April, 13:35
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    addition, subtraction, and multiplication only

    Step-by-step explanation:

    There are a couple of reasons why polynomials are not closed under division:

    1. the set of polynomials includes zero, and division by zero is undefined.

    2. division by a polynomial can give rise to terms that are not non-negative powers of the variable, 1/x, for example. These terms are not included in the set of polynomials.
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