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

User JBildstein
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2 Answers

5 votes

Answer:

Addition, Subtraction, and Multiplication

Explanation:

User Benja Garrido
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4 votes

Answer:

addition, subtraction, and multiplication only

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.

User Grimxn
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