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What is the expression \(2x+\sqrt{x}\)?

Answer and explanation

Correct answer: Not a polynomial

The correct answer is not a polynomial. Since \(\sqrt{x}=x^{\frac{1}{2}}\), the exponent of \(x\) in the expression is \(\frac{1}{2}\). In a polynomial, variable exponents must be zero or positive integers; fractional exponents are not allowed. Therefore, it is neither a linear nor a quadratic polynomial. Exam tip: Rewrite a square root as an exponent and check the exponent of the variable.

Related tags

PolynomialsDefinition Of PolynomialFractional ExponentsSquare RootsNon-PolynomialDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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