What is the degree of the polynomial (9x^4-6x+11)?
Answer and explanation
Correct answer: 4
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. Here, the exponents of the terms are 4, 1, and 0; the greatest is 4. Therefore, the degree is 4. The number 9 is the coefficient of x^4, not the degree. Exam tip: Treat a non-zero constant term as having exponent 0 and identify the highest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
4
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 the terms are 4, 1, and 0; the greatest is 4. Therefore, the degree is 4. The number 9 is the coefficient of x^4, not the degree. Exam tip: Treat a non-zero constant term as having exponent 0 and identify the highest exponent of the variable.
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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