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Which of the following expressions is a polynomial in x, even though one of its coefficients is irrational?

Answer and explanation

Correct answer: \(5x^3-\sqrt{2}x+7\)

In \(5x^3-\sqrt{2}x+7\), the powers of x are 3, 1, and 0, all non-negative integers. An irrational coefficient such as \(\sqrt{2}\) is allowed. Option B has \(x^{-1}\). Exam tip: check exponents of the variable, not the type of coefficient.

Related tags

PolynomialsPolynomial DefinitionIrrational CoefficientsExponentsClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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