What is the degree of the polynomial (x^4+x^3+x^2+x+1)?
Answer and explanation
Correct answer: 4
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. In the given polynomial, the highest power of x is 4 in the term x^4. Therefore, its degree is 4. The term x^3 has exponent 3, so it cannot determine the degree. Exam tip: Simplify a polynomial first and ignore terms with zero coefficients before finding its degree.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. In the given polynomial, the highest power of x is 4 in the term x^4. Therefore, its degree is 4. The term x^3 has exponent 3, so it cannot determine the degree. Exam tip: Simplify a polynomial first and ignore terms with zero coefficients before finding its 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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