What is the degree of (10x^2+x^6-4x^3+1)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. In the given polynomial, the powers of x are 2, 6, 3, and 0. The greatest power is 6, so its degree is 6. Here, 10 is a coefficient, not an exponent, so it is not the degree. Exam tip: Look for the highest power of the variable, not the order of the terms.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. In the given polynomial, the powers of x are 2, 6, 3, and 0. The greatest power is 6, so its degree is 6. Here, 10 is a coefficient, not an exponent, so it is not the degree. Exam tip: Look for the highest power of the variable, not the order of the terms.
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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