What is the degree of (x+x^2+x^3+x^4)?
Answer and explanation
Correct answer: 4
The degree of a polynomial is the highest exponent of the variable with a non-zero coefficient. The given polynomial has the terms x, x^2, x^3 and x^4, and the greatest exponent of x is 4. Hence, its degree is 4. Option 3 is not correct because the term x^4 is also present. Exam tip: First simplify a polynomial, then identify the greatest exponent of the variable.
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 highest exponent of the variable with a non-zero coefficient. The given polynomial has the terms x, x^2, x^3 and x^4, and the greatest exponent of x is 4. Hence, its degree is 4. Option 3 is not correct because the term x^4 is also present. Exam tip: First simplify a polynomial, then identify the greatest exponent 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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