What is the degree of (2x^2+x^9-6x^5+1)?
Answer and explanation
Correct answer: 9
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 exponents are 2, 9, 5, and 0; the greatest is 9 in the term \(x^9\). Therefore, the degree is 9. The term \(6x^5\) has exponent 5, so it does not determine the degree. Exam tip: the order of terms does not affect the degree of a polynomial.
Frequently asked questions
What is the correct answer to this question?
9
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 exponents are 2, 9, 5, and 0; the greatest is 9 in the term \(x^9\). Therefore, the degree is 9. The term \(6x^5\) has exponent 5, so it does not determine the degree. Exam tip: the order of terms does not affect the degree of a polynomial.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
