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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsMedium
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If \(a, b, c\) are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?

Answer and explanation

Correct answer: \(a\ne 0\)

For a quadratic expression, the coefficient of \(x^2\) must be non-zero; hence \(a\ne0\). The coefficients \(b\) and \(c\) may be zero. Exam tip: check the highest power with a non-zero coefficient.

Related tags

Quadratic ExpressionsAlgebraic IdentitiesPolynomial DegreeCoefficientsClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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  3. 3Which expression can be factorised directly using the identity for the difference of two squares?
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  5. 5Which expression is a quadratic expression?
  6. 6Based on the powers of the variable \(x\) in the polynomial \(5x^2-3x+7\), what is the degree of this expression?
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  8. 8If a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?
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  10. 10Which of the following quadratic expressions can be factorised using the identity for the difference of two squares?
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