Which condition is essential for an expression in the standard form \(ax^2+bx+c\) to be quadratic?
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Answer and explanation
Correct answer: \(a \ne 0\)
For an expression to be quadratic, the coefficient of \(x^2\) must be non-zero; hence \(a\ne0\). The coefficients \(b\) and \(c\) may be zero, as in \(3x^2+5\). Exam tip: check the highest non-zero power of the variable.
Frequently asked questions
What is the correct answer to this question?
\(a \ne 0\)
Why is this the correct answer?
For an expression to be quadratic, the coefficient of \(x^2\) must be non-zero; hence \(a\ne0\). The coefficients \(b\) and \(c\) may be zero, as in \(3x^2+5\). Exam tip: check the highest non-zero power of the variable.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
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