What is the degree of (2x+5x^4-3x^8+6)?
Answer and explanation
Correct answer: 8
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. In the given polynomial, the powers of x are 1, 4, and 8, while the constant term 6 has degree 0. The greatest power is 8, so the degree of the polynomial is 8. The number 6 is a constant term, not the degree. Exam tip: Ignore the order of terms and identify the highest power of the variable.
Frequently asked questions
What is the correct answer to this question?
8
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. In the given polynomial, the powers of x are 1, 4, and 8, while the constant term 6 has degree 0. The greatest power is 8, so the degree of the polynomial is 8. The number 6 is a constant term, not the degree. Exam tip: Ignore the order of terms and 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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