What is the degree of the polynomial 4 + 3x^2 - 2x^5?
Answer and explanation
Correct answer: 5
The degree of a non-zero polynomial is the greatest exponent of the variable that has a non-zero coefficient. In 4 + 3x^2 - 2x^5, the constant term 4 has degree 0, the term 3x^2 has degree 2, and the term -2x^5 has degree 5. The order in which the terms are written does not affect the degree. Since 5 is the greatest exponent and its coefficient -2 is non-zero, the degree of the polynomial is 5. Therefore option D is correct; the other numbers are exponents or degrees of individual lower-degree terms, not of the whole polynomial.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The degree of a non-zero polynomial is the greatest exponent of the variable that has a non-zero coefficient. In 4 + 3x^2 - 2x^5, the constant term 4 has degree 0, the term 3x^2 has degree 2, and the term -2x^5 has degree 5. The order in which the terms are written does not affect the degree. Since 5 is the greatest exponent and its coefficient -2 is non-zero, the degree of the polynomial is 5. Therefore option D is correct; the other numbers are exponents or degrees of individual lower-degree terms, not of the whole polynomial.
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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