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Which expression is a polynomial but does not have degree (1)?

Answer and explanation

Correct answer: \(x^2+6\)

\(x^2+6\) is a polynomial because the exponents of \(x\) are non-negative integers, namely \(2\) and \(0\). Its highest exponent is \(2\), so its degree is \(2\), not \(1\). The closest option, \(4x-7\), has degree \(1\). \(\frac{1}{x}+3\) and \(\sqrt{x}+2\) are not polynomials because they contain \(x^{-1}\) and \(x^{1/2}\), respectively. Exam tip: in a polynomial, every variable exponent must be a non-negative integer.

Related tags

PolynomialsDegree Of PolynomialQuadratic PolynomialLinear PolynomialClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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