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