What is the degree of (x^{13}-x^6+4)?
Answer and explanation
Correct answer: 13
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 13, 6, and 0, and the greatest is 13. Therefore, the correct answer is 13. The number 6 is only the exponent of the second term, not the degree. Exam tip: Treat a non-zero constant term as having exponent 0 and select the highest exponent.
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 13, 6, and 0, and the greatest is 13. Therefore, the correct answer is 13. The number 6 is only the exponent of the second term, not the degree. Exam tip: Treat a non-zero constant term as having exponent 0 and select 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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