Which option correctly gives the degree and constant term of 2x^3 − 5x^2 + x − 4?
Answer and explanation
Correct answer: Degree 3, constant term −4
For a non-zero polynomial in one variable, the degree is the greatest exponent of the variable whose coefficient is non-zero. In 2x^3 − 5x^2 + x − 4, the exponents are 3, 2, 1, and 0, so the greatest exponent is 3. The constant term is the term independent of x; it is the final term −4, because it can be written as −4x^0. Therefore, the correct pair is degree 3 and constant term −4, as stated in option A. Option B mistakes the coefficient of x^2 for the degree, option C confuses a coefficient with the constant term, and option D treats the coefficient 2 as an exponent.
Frequently asked questions
What is the correct answer to this question?
Degree 3, constant term −4
Why is this the correct answer?
For a non-zero polynomial in one variable, the degree is the greatest exponent of the variable whose coefficient is non-zero. In 2x^3 − 5x^2 + x − 4, the exponents are 3, 2, 1, and 0, so the greatest exponent is 3. The constant term is the term independent of x; it is the final term −4, because it can be written as −4x^0. Therefore, the correct pair is degree 3 and constant term −4, as stated in option A. Option B mistakes the coefficient of x^2 for the degree, option C confuses a coefficient with the constant term, and option D treats the coefficient 2 as an exponent.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
