Which condition is necessary for the expression \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?
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Answer and explanation
Correct answer: \(a\ne0\)
A quadratic expression must have 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) cannot be zero. For example, \(3x^2-5x+1\) is quadratic. Both \(b\) and \(c\) may be zero. Exam tip: check the non-zero coefficient of the highest power first.
Frequently asked questions
What is the correct answer to this question?
\(a\ne0\)
Why is this the correct answer?
A quadratic expression must have 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) cannot be zero. For example, \(3x^2-5x+1\) is quadratic. Both \(b\) and \(c\) may be zero. Exam tip: check the non-zero 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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