What is the degree of (x^4+x^6+x^8+x^{10})?
Answer and explanation
Correct answer: 10
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the powers of x are 4, 6, 8, and 10. The greatest power is 10, so the degree of the polynomial is 10. Option 8 is a close distractor, but the term x^{10} is present, so the degree cannot be 8. Exam tip: Before finding the degree, check the exponents of the variable in every term.
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 its variable with a non-zero coefficient. Here, the powers of x are 4, 6, 8, and 10. The greatest power is 10, so the degree of the polynomial is 10. Option 8 is a close distractor, but the term x^{10} is present, so the degree cannot be 8. Exam tip: Before finding the degree, check the exponents of the variable in every term.
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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