Which of the following expressions is not a polynomial in one variable?
Answer and explanation
Correct answer: \(x^2+y+1\)
A polynomial in one variable contains only one variable, raised only to non-negative integer powers. Option C, \(x^2+y+1\), contains two different variables, \(x\) and \(y\), so it is not a polynomial in one variable. Options A, B and D contain only one variable each—\(x\), \(t\) and \(z\), respectively—and are therefore polynomials in one variable. Exam tip: count the distinct variables, regardless of their names.
Frequently asked questions
What is the correct answer to this question?
\(x^2+y+1\)
Why is this the correct answer?
A polynomial in one variable contains only one variable, raised only to non-negative integer powers. Option C, \(x^2+y+1\), contains two different variables, \(x\) and \(y\), so it is not a polynomial in one variable. Options A, B and D contain only one variable each—\(x\), \(t\) and \(z\), respectively—and are therefore polynomials in one variable. Exam tip: count the distinct variables, regardless of their names.
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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