What is the degree of (4x^2+x^{10}-6x^4+11)?
Answer and explanation
Correct answer: 10
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. Here, the exponents are 2, 10, 4, and 0. The greatest exponent is 10, so the degree of the polynomial is 10. Although 4 is an exponent of one term, it is not the degree of the whole polynomial. Exam tip: The order of terms does not matter; identify the highest power of the variable.
Frequently asked questions
What is the correct answer to this question?
10
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. Here, the exponents are 2, 10, 4, and 0. The greatest exponent is 10, so the degree of the polynomial is 10. Although 4 is an exponent of one term, it is not the degree of the whole polynomial. Exam tip: The order of terms does not matter; identify the highest power of the variable.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
