What is the degree of (x+x^2+x^3+x^5)?
Answer and explanation
Correct answer: 5
The degree of a polynomial is the highest power of the variable with a non-zero coefficient. In the given polynomial, the powers of x are 1, 2, 3, and 5; the highest is 5. Therefore, its degree is 5. Option 3 is only the power of x^3, but the term x^5 is also present. Exam tip: Look for the greatest exponent of the variable, regardless of the order of terms.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The degree of a polynomial is the highest power of the variable with a non-zero coefficient. In the given polynomial, the powers of x are 1, 2, 3, and 5; the highest is 5. Therefore, its degree is 5. Option 3 is only the power of x^3, but the term x^5 is also present. Exam tip: Look for the greatest exponent of the variable, regardless of the order of terms.
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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