What is the degree of (x+x^2+x^4+x^6)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the greatest exponent of the variable among its terms with non-zero coefficients. Here, the exponents are 1, 2, 4, and 6. The greatest exponent is 6, so the degree of the polynomial is 6. Option 4 may seem close, but the term x^6 is present, so the degree cannot be 4. Exam tip: identify the highest power of the variable in the polynomial.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable among its terms with non-zero coefficients. Here, the exponents are 1, 2, 4, and 6. The greatest exponent is 6, so the degree of the polynomial is 6. Option 4 may seem close, but the term x^6 is present, so the degree cannot be 4. Exam tip: identify the highest power of the variable in the polynomial.
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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