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Which expression is a quadratic polynomial?

Answer and explanation

Correct answer: \(4x^2-5x+9\)

A quadratic polynomial has highest degree 2. In \(4x^2-5x+9\), the greatest exponent of \(x\) is 2, so it is quadratic. \(x^3+2x+1\) is cubic, while \(7x-1\) is linear. Also, \(\sqrt{x}+2=x^{1/2}+2\) is not a polynomial because exponents of the variable in a polynomial must be non-negative integers. Exam tip: First check that all exponents are non-negative integers, then use the highest exponent to identify the type of polynomial.

Related tags

PolynomialsQuadratic PolynomialDegree Of PolynomialClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematicsClass 9 Mcq

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