What is the degree of (14x^2+x^8-5x^4+3)?
Answer and explanation
Correct answer: 8
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. In the given polynomial, the exponents are 2, 8, 4, and 0. The greatest exponent is 8, so its degree is 8. Here, 14 is a coefficient, not the degree. Exam tip: Arrange terms in descending powers to identify the degree quickly.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. In the given polynomial, the exponents are 2, 8, 4, and 0. The greatest exponent is 8, so its degree is 8. Here, 14 is a coefficient, not the degree. Exam tip: Arrange terms in descending powers to identify the degree quickly.
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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