What is the degree of (5x^3+x^{11}-7x^6+4)?
Answer and explanation
Correct answer: 11
The degree of a polynomial is the greatest exponent of the variable having a non-zero coefficient. Here, the powers of x are 3, 11, and 6, while the constant term 4 has degree 0. The greatest exponent is 11, so the degree is 11. Option 6 is the degree of only one term, not of the whole polynomial. Exam tip: the order of terms does not affect the degree; identify the highest power of the variable.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable having a non-zero coefficient. Here, the powers of x are 3, 11, and 6, while the constant term 4 has degree 0. The greatest exponent is 11, so the degree is 11. Option 6 is the degree of only one term, not of the whole polynomial. Exam tip: the order of terms does not affect the degree; 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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