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In the expression \(ax^2+bx+c\), where \(a,b,c\) are real numbers, which condition is necessary for it to be a quadratic expression in \(x\)?

Answer and explanation

Correct answer: \(a\ne0\)

For a quadratic expression, the coefficient of \(x^2\) must be non-zero; hence \(a\ne0\). The values of \(b\) or \(c\) may be zero, as in \(x^2+5\). Exam tip: check the highest non-zero power of the variable.

Related tags

Quadratic ExpressionsAlgebraic IdentitiesPolynomial DegreeCoefficientClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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