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

Answer and explanation

Correct answer: Because the variable x has a negative exponent

In a polynomial, every exponent of a variable must be a non-negative integer. Here, the exponent of x is -2, so the term x^{-2} = 1/x^2 cannot be a polynomial term. Although 7x is a valid polynomial term, one invalid exponent makes the whole expression non-polynomial. Exam tip: Check for negative or fractional exponents before identifying an expression as a polynomial.

Related tags

PolynomialsDefinition Of PolynomialNegative ExponentsNon-PolynomialAlgebraDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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