Which condition is necessary for \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?
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Answer and explanation
Correct answer: \(a\) must be non-zero
For an expression to be quadratic, the coefficient of \(x^2\) must be non-zero; hence \(a\neq0\). The values of \(b\) and \(c\) may be zero. If \(a=0\), the highest power becomes at most 1. Exam tip: identify the expression by its highest non-zero power.
Frequently asked questions
What is the correct answer to this question?
\(a\) must be non-zero
Why is this the correct answer?
For an expression to be quadratic, the coefficient of \(x^2\) must be non-zero; hence \(a\neq0\). The values of \(b\) and \(c\) may be zero. If \(a=0\), the highest power becomes at most 1. Exam tip: identify the expression by its highest non-zero power.
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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