What is the degree of (11x^8-4x^6+x^2+3)?
Answer and explanation
Correct answer: 8
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 8, 6, 2, and 0; the greatest is 8. Therefore, the degree is 8. The number 11 is only the coefficient of x^8, not the degree. Exam tip: To find degree, compare the exponents of the variable, not the coefficients.
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 with a non-zero coefficient. Here, the exponents of the terms are 8, 6, 2, and 0; the greatest is 8. Therefore, the degree is 8. The number 11 is only the coefficient of x^8, not the degree. Exam tip: To find degree, compare the exponents of the variable, not the coefficients.
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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