What is the degree of (2x+5x^4-3x^9+6)?
Answer and explanation
Correct answer: 9
The degree of a polynomial is the greatest exponent of the variable among terms with non-zero coefficients. Here, the powers of x are 1, 4, and 9, while the constant term 6 has power 0. The greatest exponent is 9, so the degree of the polynomial is 9. The number 6 is a constant term, not the degree. Exam tip: The order of terms does not matter; identify the highest power of the variable.
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 the variable among terms with non-zero coefficients. Here, the powers of x are 1, 4, and 9, while the constant term 6 has power 0. The greatest exponent is 9, so the degree of the polynomial is 9. The number 6 is a constant term, not the degree. Exam tip: The order of terms does not matter; identify the highest power 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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