What is the degree of the polynomial (x^3+x^8+2x^2)?
Answer and explanation
Correct answer: 8
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. Here, the exponents of x are 3, 8, and 2, and the greatest is 8. Therefore, the degree of the polynomial is 8. Option 13 is incorrect because exponents of separate terms are not added to find the degree. Exam tip: Rearranging the terms does not change the degree of a polynomial.
Frequently asked questions
What is the correct answer to this question?
8
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 of x are 3, 8, and 2, and the greatest is 8. Therefore, the degree of the polynomial is 8. Option 13 is incorrect because exponents of separate terms are not added to find the degree. Exam tip: Rearranging the terms does not change the degree of a polynomial.
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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