Which condition is necessary for the polynomial \(ax^2+bx+c\) to be a quadratic expression?
Answer and explanation
Correct answer: \(a\ne0\)
A quadratic expression must have 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) must be non-zero. The values of \(b\) and \(c\) may be zero. 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 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) must be non-zero. The values of \(b\) and \(c\) may be zero. 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.