What is the degree of (8x^3-2+5x^7)?
Answer and explanation
Correct answer: 7
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 3, 0, and 7; the greatest is 7. Therefore, the degree is 7. The number 8 is a coefficient, not an exponent, so it is 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?
7
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 3, 0, and 7; the greatest is 7. Therefore, the degree is 7. The number 8 is a coefficient, not an exponent, so it is 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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