Which condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in \(x\)?
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Answer and explanation
Correct answer: \(a \ne 0\)
A quadratic expression must have 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) must be non-zero. If \(a=0\), the expression becomes at most linear. Exam tip: check the coefficient of the highest power first.
Frequently asked questions
What is the correct answer to this question?
\(a \ne 0\)
Why is this the correct answer?
A quadratic expression must have 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) must be non-zero. If \(a=0\), the expression becomes at most linear. Exam tip: check the coefficient of the highest power first.
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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