What is the degree of the polynomial (8x^4-6x+11)?
Answer and explanation
Correct answer: 4
The highest power of x in the polynomial is 4, appearing in the term 8x^4. Therefore, the degree of the polynomial is 4. The term -6x has degree 1 and the constant term 11 has degree 0, so neither determines the degree. Exam tip: To find the degree, identify the greatest exponent of the variable among terms with non-zero coefficients.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The highest power of x in the polynomial is 4, appearing in the term 8x^4. Therefore, the degree of the polynomial is 4. The term -6x has degree 1 and the constant term 11 has degree 0, so neither determines the degree. Exam tip: To find the degree, identify the greatest exponent of the variable among terms with non-zero 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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