Which of the following is not a constant polynomial?
Answer and explanation
Correct answer: 2x + 1
The governing concept is the definition of a constant polynomial. A constant polynomial has a fixed value and contains no variable term; its degree is 0 for a non-zero constant. The expressions 8, -3, and 0 are all constants, so their values do not change with x. In contrast, 2x + 1 contains the variable x and changes when x changes, so it is a linear polynomial rather than a constant polynomial. Therefore option D is correct. The zero polynomial is also treated as a constant polynomial in this classification, although its degree is often handled separately or described as undefined. The presence of x, not the number of terms, is the decisive distinction here.
Frequently asked questions
What is the correct answer to this question?
2x + 1
Why is this the correct answer?
The governing concept is the definition of a constant polynomial. A constant polynomial has a fixed value and contains no variable term; its degree is 0 for a non-zero constant. The expressions 8, -3, and 0 are all constants, so their values do not change with x. In contrast, 2x + 1 contains the variable x and changes when x changes, so it is a linear polynomial rather than a constant polynomial. Therefore option D is correct. The zero polynomial is also treated as a constant polynomial in this classification, although its degree is often handled separately or described as undefined. The presence of x, not the number of terms, is the decisive distinction here.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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