Which polynomial is in one variable (x)?
Answer and explanation
Correct answer: (x^2+2x+1)
A polynomial in one variable contains only one variable throughout its terms. The variable may have different nonnegative integer powers, and constants are allowed, but another letter cannot appear as an independent variable. The expression must also have the usual polynomial form, with no variable in a denominator or fractional exponent.
Option A, x^2+2x+1, contains only x, so it is a polynomial in one variable x. Option B contains both x and y, option C contains a and b, and option D contains x and y. Those are expressions in two variables, not in one variable. Therefore option A follows directly from counting the independent variables present.
Frequently asked questions
What is the correct answer to this question?
(x^2+2x+1)
Why is this the correct answer?
A polynomial in one variable contains only one variable throughout its terms. The variable may have different nonnegative integer powers, and constants are allowed, but another letter cannot appear as an independent variable. The expression must also have the usual polynomial form, with no variable in a denominator or fractional exponent.
Option A, x^2+2x+1, contains only x, so it is a polynomial in one variable x. Option B contains both x and y, option C contains a and b, and option D contains x and y. Those are expressions in two variables, not in one variable. Therefore option A follows directly from counting the independent variables present.
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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