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What is the expression \(2x^2+\sqrt{3}x+5\)?

Answer and explanation

Correct answer: Polynomial

\(2x^2+\sqrt{3}x+5\) is a polynomial in \(x\) because the exponents of \(x\) are \(2\), \(1\), and \(0\), all of which are non-negative integers. \(\sqrt{3}\) is a real number, so it can be a valid coefficient of \(x\). It is not a zero polynomial because its coefficients are not all zero. Exam tip: In a polynomial, variable exponents can only be \(0,1,2,\ldots\), while coefficients may be rational or irrational.

Related tags

PolynomialsDefinition Of PolynomialReal CoefficientsNon-Negative ExponentsClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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