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Which of the following expressions is a polynomial in one variable \(x\)?

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Answer and explanation

Correct answer: \(7x^2-3x+1\)

In \(7x^2-3x+1\), the powers of \(x\) are 2, 1 and 0, all non-negative integers, so it is a polynomial in one variable. \(\frac{1}{x}\) has power \(-1\). Exam tip: polynomial exponents must be 0, 1, 2, ... .

Related tags

PolynomialsOne VariableAlgebraic ExpressionsClassificationGrade 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(7x^2-3x+1\)

Why is this the correct answer?

In \(7x^2-3x+1\), the powers of \(x\) are 2, 1 and 0, all non-negative integers, so it is a polynomial in one variable. \(\frac{1}{x}\) has power \(-1\). Exam tip: polynomial exponents must be 0, 1, 2, ... .

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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