Which polynomial has degree (8)?
Answer and explanation
Correct answer: \(4x^8-x^2+5\)
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(4x^8-x^2+5\), the highest power of \(x\) is \(8\), so its degree is \(8\). \(2x^7+3\) has degree \(7\), so it is not correct. Exam tip: a constant term has exponent \(0\).
Frequently asked questions
What is the correct answer to this question?
\(4x^8-x^2+5\)
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(4x^8-x^2+5\), the highest power of \(x\) is \(8\), so its degree is \(8\). \(2x^7+3\) has degree \(7\), so it is not correct. Exam tip: a constant term has exponent \(0\).
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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