Seudónimo Seudónimo

14-11-2021
Mathematics

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Are the following polynomial sets open or closed?

6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8)
7. (2 - x)(1 + 3x)
8. (5b - 3c)(7b - 3c)

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Younes69 Younes69

14-11-2021

Answer:

All closed.

Addition, subtraction as well as multiplication of polynomials result into another polynomial. Therefore, the set of polynomials is closed under addition, subtraction and multiplication.

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