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Why is (7x^2-4x^{-1}+3) not a polynomial?

Answer and explanation

Correct answer: Because the exponent of the variable in x^{-1} is negative

In a polynomial, the exponent of a variable can only be 0 or a positive whole number. Here, x^{-1}=1/x has exponent -1, so the given expression is not a polynomial. The constant term 3 and the term 7x^2 are both allowed. Exam tip: When identifying a polynomial, first check for negative or fractional exponents, or variables in denominators.

Related tags

Polynomial DefinitionNegative ExponentAlgebraic ExpressionsClass 9 MathematicsPolynomial IdentificationDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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