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Class 10MathematicsPolynomialsPolynomials in one variableMediumLevel 47
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Which of the following polynomials does not have a leading coefficient of 1?

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Answer and explanation

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

The leading coefficient of a polynomial is the coefficient of the term with the highest power of the variable. In \(3x^2+x+1\), the highest-degree term is \(3x^2\), so its leading coefficient is 3, not 1. The leading coefficients of the other three polynomials are all 1. Exam tip: Identify the highest-degree term first, then read its coefficient.

Related tags

Leading CoefficientMonic PolynomialPolynomials In One VariablePolynomial Terms

Frequently asked questions

What is the correct answer to this question?

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

Why is this the correct answer?

The leading coefficient of a polynomial is the coefficient of the term with the highest power of the variable. In \(3x^2+x+1\), the highest-degree term is \(3x^2\), so its leading coefficient is 3, not 1. The leading coefficients of the other three polynomials are all 1. Exam tip: Identify the highest-degree term first, then read its coefficient.

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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