For an expression in the general form \(ax^2+bx+c\) to be quadratic in \(x\), which condition is necessary?
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Answer and explanation
Correct answer: \(a\ne 0\)
A quadratic expression must have a non-zero coefficient of \(x^2\), so \(a\ne0\) is necessary. If \(a=0\), the highest possible power becomes 1. Exam tip: first check the coefficient of the squared term.
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 a non-zero coefficient of \(x^2\), so \(a\ne0\) is necessary. If \(a=0\), the highest possible power becomes 1. Exam tip: first check the coefficient of the squared term.
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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