What is the degree of (x^{11}-x^4+5)?
Answer and explanation
Correct answer: 11
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the exponents of x are 11 and 4, while 5 is a constant term. The greatest exponent is 11, so the degree is 11. Option 15 is the sum of exponents, not the degree. Exam tip: do not add exponents of separate terms; identify the highest exponent.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the exponents of x are 11 and 4, while 5 is a constant term. The greatest exponent is 11, so the degree is 11. Option 15 is the sum of exponents, not the degree. Exam tip: do not add exponents of separate terms; 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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