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Subjects
Class 10MathematicsPolynomialsPolynomials in one variableMediumLevel 46
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In the polynomial \(p(x)=x^4+2x^2+1\), which of the following powers has its term missing?

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Answer and explanation

Correct answer: \(x^3\)

The polynomial contains the terms \(x^4\), \(2x^2\), and the constant term \(1=x^0\), but it has no \(x^3\) term. Therefore, among the given options, B is correct. The coefficient of a missing term is taken as 0; in an exam, first list the powers that are explicitly present.

Related tags

PolynomialsMissing TermCoefficient ZeroPolynomial Powers

Frequently asked questions

What is the correct answer to this question?

\(x^3\)

Why is this the correct answer?

The polynomial contains the terms \(x^4\), \(2x^2\), and the constant term \(1=x^0\), but it has no \(x^3\) term. Therefore, among the given options, B is correct. The coefficient of a missing term is taken as 0; in an exam, first list the powers that are explicitly 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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