Why is \(a\neq0\) necessary in \(ax^2+bx+c\)?
Answer and explanation
Correct answer: So that the expression remains quadratic
In a quadratic expression, the coefficient of the \(x^2\) term must not be zero. If \(a=0\), the term \(ax^2\) disappears and the expression becomes \(bx+c\), which may be linear (or constant when \(b=0\)), not quadratic. Option C refers to a linear expression with highest power 1. Exam tip: The degree of a polynomial is determined by the highest power with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
So that the expression remains quadratic
Why is this the correct answer?
In a quadratic expression, the coefficient of the \(x^2\) term must not be zero. If \(a=0\), the term \(ax^2\) disappears and the expression becomes \(bx+c\), which may be linear (or constant when \(b=0\)), not quadratic. Option C refers to a linear expression with highest power 1. Exam tip: The degree of a polynomial is determined by 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
