What is the degree of (2x^{12}-5x^9+3x^4-6)?
Answer and explanation
Correct answer: 12
The degree of a polynomial in one variable is the highest exponent of the variable with a non-zero coefficient. Here, the powers of x are 12, 9, 4, and 0. The greatest power is 12, so the degree is 12. The number 2 is a coefficient, not the degree. Exam tip: Treat a non-zero constant term as having degree 0.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
The degree of a polynomial in one variable is the highest exponent of the variable with a non-zero coefficient. Here, the powers of x are 12, 9, 4, and 0. The greatest power is 12, so the degree is 12. The number 2 is a coefficient, not the degree. Exam tip: Treat a non-zero constant term as having degree 0.
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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