What is the degree of (4x^8-6x^5+7x^2-1)?
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 8, 5, 2, and 0. The greatest exponent is 8, so the degree of the polynomial is 8. Although 5 is the exponent in the second term, it is not the degree of the whole polynomial. Exam tip: Treat the constant term as having exponent 0, then identify the greatest exponent.
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 8, 5, 2, and 0. The greatest exponent is 8, so the degree of the polynomial is 8. Although 5 is the exponent in the second term, it is not the degree of the whole polynomial. Exam tip: Treat the constant term as having exponent 0, then identify the greatest 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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