What is the degree of the polynomial (3x^6+x^2-5)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the greatest exponent of its variable. Here, the exponents of the terms are 6, 2, and 0, and the greatest is 6. Therefore, the degree of the polynomial is 6. The number 2 is only the exponent of the term x^2, not of the whole polynomial. Exam tip: treat a non-zero constant term as having exponent 0.
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 its variable. Here, the exponents of the terms are 6, 2, and 0, and the greatest is 6. Therefore, the degree of the polynomial is 6. The number 2 is only the exponent of the term x^2, not of the whole polynomial. Exam tip: treat a non-zero constant term as having 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.
