In the general form \(ax^2+bx+c\) of a quadratic expression, which condition on \(a\) is necessary for it to remain quadratic?
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Answer and explanation
Correct answer: \(a\ne0\)
A quadratic expression must have \(x^2\) as its highest power, so its coefficient \(a\) must be non-zero. If \(a=0\), the \(x^2\) term disappears and the expression can be linear. Exam tip: check the leading coefficient 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 \(x^2\) as its highest power, so its coefficient \(a\) must be non-zero. If \(a=0\), the \(x^2\) term disappears and the expression can be linear. Exam tip: check the leading coefficient 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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