What is the degree of (5x^9-8x^6+2x^3-7)?
Answer and explanation
Correct answer: 9
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the powers of x are 9, 6, and 3, while the constant term −7 has degree 0. The greatest power is 9, so the degree is 9. Option 6 is only the exponent in the term −8x^6, not the degree of the whole polynomial. Exam tip: list the exponents of the variable and select the greatest one.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the powers of x are 9, 6, and 3, while the constant term −7 has degree 0. The greatest power is 9, so the degree is 9. Option 6 is only the exponent in the term −8x^6, not the degree of the whole polynomial. Exam tip: list the exponents of the variable and select the greatest one.
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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