Which polynomial has degree (2)?
Answer and explanation
Correct answer: \(4x^2-5x+9\)
The degree of a polynomial is the highest exponent of its variable with a non-zero coefficient. In \(4x^2-5x+9\), the highest power of \(x\) is \(2\), so its degree is \(2\). In contrast, \(3x^3+1\) has degree \(3\), and \(8\) is a constant polynomial with degree \(0\). Exam tip: simplify the polynomial first, then identify the greatest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
\(4x^2-5x+9\)
Why is this the correct answer?
The degree of a polynomial is the highest exponent of its variable with a non-zero coefficient. In \(4x^2-5x+9\), the highest power of \(x\) is \(2\), so its degree is \(2\). In contrast, \(3x^3+1\) has degree \(3\), and \(8\) is a constant polynomial with degree \(0\). Exam tip: simplify the polynomial first, then identify the greatest exponent of the variable.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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