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Which of the following expressions is not a quadratic polynomial in \(x\)?

Answer and explanation

Correct answer: \(x^2+\frac{3}{x}+2\)

In \(x^2+\frac{3}{x}+2\), the term \(\frac{3}{x}=3x^{-1}\) has a negative power of \(x\). A polynomial cannot contain negative exponents, so it is not quadratic. An irrational coefficient such as \(\sqrt{2}\) is allowed. Exam tip: check powers first.

Related tags

Quadratic ExpressionsPolynomialsDegree Of PolynomialNegative ExponentsClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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