Which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?
Answer and explanation
Correct answer: \(a\ne 0\)
A quadratic expression must have highest power 2, so the coefficient \(a\) of \(x^2\) cannot be zero. The coefficients \(b\) and \(c\) may be zero. Exam tip: first check the coefficient of the highest-power 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 highest power 2, so the coefficient \(a\) of \(x^2\) cannot be zero. The coefficients \(b\) and \(c\) may be zero. Exam tip: first check the coefficient of the highest-power term.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.