What is the degree of (12x^2+x^7-4x^3+1)?
Answer and explanation
Correct answer: 7
The degree of a polynomial is the greatest exponent of the variable in any of its terms. In the given polynomial, the powers of x are 2, 7, 3, and 0; the greatest is 7, so its degree is 7. Here, 12 is a coefficient, not an exponent, so it is not the degree. Exam tip: Writing terms in descending powers makes it easier to identify the degree.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable in any of its terms. In the given polynomial, the powers of x are 2, 7, 3, and 0; the greatest is 7, so its degree is 7. Here, 12 is a coefficient, not an exponent, so it is not the degree. Exam tip: Writing terms in descending powers makes it easier to identify the degree.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
