What is the degree of the polynomial (7x^5-4x^3+2x-8)?
Answer and explanation
Correct answer: 5
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the exponents of the terms are 5, 3, 1, and 0, and the coefficient of x^5 is 7, which is non-zero. Therefore, the degree is 5. Option 3 is only the exponent of the term -4x^3, not the highest exponent. Exam tip: A constant term has degree 0.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. Here, the exponents of the terms are 5, 3, 1, and 0, and the coefficient of x^5 is 7, which is non-zero. Therefore, the degree is 5. Option 3 is only the exponent of the term -4x^3, not the highest exponent. Exam tip: A constant term has 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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