Why is the expression \(2x^2+3xy+1\) not a polynomial in one variable?
Answer and explanation
Correct answer: Because it contains two variables, \(x\) and \(y\)
A polynomial in one variable must involve only one variable, with constant coefficients. Here both \(x\) and \(y\) occur, particularly in the term \(3xy\), so the expression is not a polynomial in one variable. Having degree 2 or a constant term 1 is perfectly acceptable for a polynomial. Exam tip: identify all distinct letters appearing as variables before deciding whether a polynomial is in one variable.
Frequently asked questions
What is the correct answer to this question?
Because it contains two variables, \(x\) and \(y\)
Why is this the correct answer?
A polynomial in one variable must involve only one variable, with constant coefficients. Here both \(x\) and \(y\) occur, particularly in the term \(3xy\), so the expression is not a polynomial in one variable. Having degree 2 or a constant term 1 is perfectly acceptable for a polynomial. Exam tip: identify all distinct letters appearing as variables before deciding whether a polynomial 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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