Is x5 + x2 + x a polynomial? Explain why or why not.

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AubriaY94118 AubriaY94118

25-10-2022
Mathematics

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Is x5 + x2 + x a polynomial? Explain why or why not.

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JazeT355023 JazeT355023 · Answer 1 · 2022-10-25T13:27:28+02:00

A polynomial is a mathematical expression formed by variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponentiation of variables.

The expression:

[tex]x^5+x^2+x[/tex]

Is formed by the addition of three terms, each consisting of the variable x raised to a positive integer quantity. Therefore, the given expression is a polynomial.