Which of the following is a polynomial in the variable x only, and not in the variable y?
Answer and explanation
Correct answer: x² + 3x + 1
In option A, x² + 3x + 1, only x appears as a variable, and its powers are non-negative integers; therefore, it is a polynomial in x and not in y. Options C and D contain both x and y, while option B is a polynomial only in y. Exam tip: identify all letters appearing as variables before deciding whether an expression is in one variable.
Frequently asked questions
What is the correct answer to this question?
x² + 3x + 1
Why is this the correct answer?
In option A, x² + 3x + 1, only x appears as a variable, and its powers are non-negative integers; therefore, it is a polynomial in x and not in y. Options C and D contain both x and y, while option B is a polynomial only in y. Exam tip: identify all letters appearing as variables before deciding whether an expression is in one variable.
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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