If a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?
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Answer and explanation
Correct answer: \(a\ne0\)
In a quadratic expression, the coefficient of \(x^2\) must be non-zero, so \(a\ne0\). If \(a=0\), the highest power is at most 1, making it linear or constant. Exam tip: check the highest power with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
\(a\ne0\)
Why is this the correct answer?
In a quadratic expression, the coefficient of \(x^2\) must be non-zero, so \(a\ne0\). If \(a=0\), the highest power is at most 1, making it linear or constant. Exam tip: check the highest power with a non-zero coefficient.
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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