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Which of the following expressions is a polynomial in one variable?

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Answer and explanation

Correct answer: \(4x^3-2x+7\)

In \(4x^3-2x+7\), the powers of \(x\) are 3, 1 and 0, all non-negative integers; hence it is a polynomial in one variable. \(3/x=3x^{-1}\) has a negative exponent. Exam tip: check that every variable exponent is 0, 1, 2, ... .

Related tags

PolynomialsOne VariableAlgebraic ExpressionsExponentsClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(4x^3-2x+7\)

Why is this the correct answer?

In \(4x^3-2x+7\), the powers of \(x\) are 3, 1 and 0, all non-negative integers; hence it is a polynomial in one variable. \(3/x=3x^{-1}\) has a negative exponent. Exam tip: check that every variable exponent is 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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