What is the degree of (13x^9-4x^6+x^2+3)?
Answer and explanation
Correct answer: 9
The degree of a polynomial is the highest exponent of the variable with a non-zero coefficient. Here, the powers of x are 9, 6, 2, and 0. The greatest power is 9, so the degree of the polynomial is 9. The number 13 is only the coefficient of x^9, not the degree. Exam tip: To find degree, look for the highest power of the variable, not the largest coefficient.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The degree of a polynomial is the highest exponent of the variable with a non-zero coefficient. Here, the powers of x are 9, 6, 2, and 0. The greatest power is 9, so the degree of the polynomial is 9. The number 13 is only the coefficient of x^9, not the degree. Exam tip: To find degree, look for the highest power of the variable, not the largest coefficient.
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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