What will be the degree of (5x^6+2x^3-x+8)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. The given polynomial has the terms 5x^6, 2x^3, -x, and 8, and the greatest power of x is 6. Hence, its degree is 6. The constant term 8 has degree 0, so it does not determine the degree. Exam tip: Compare the exponents of the variable in all terms before choosing the degree.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. The given polynomial has the terms 5x^6, 2x^3, -x, and 8, and the greatest power of x is 6. Hence, its degree is 6. The constant term 8 has degree 0, so it does not determine the degree. Exam tip: Compare the exponents of the variable in all terms before choosing the degree.
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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