What is the degree of (3x^0+4x^6-9x^2)?
Answer and explanation
Correct answer: 6
Since \(x^0=1\), the expression becomes \(3+4x^6-9x^2\). The degree of a polynomial is the greatest exponent of \(x\) in any term with a non-zero coefficient. The term \(4x^6\) has the highest exponent, 6, so the answer is 6. The \(x^0\) term is only a constant term and does not increase the degree. Exam tip: simplify terms such as \(x^0\) first, then identify the highest exponent.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Since \(x^0=1\), the expression becomes \(3+4x^6-9x^2\). The degree of a polynomial is the greatest exponent of \(x\) in any term with a non-zero coefficient. The term \(4x^6\) has the highest exponent, 6, so the answer is 6. The \(x^0\) term is only a constant term and does not increase the degree. Exam tip: simplify terms such as \(x^0\) first, then identify the highest exponent.
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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