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Subjects
Class 10MathematicsPolynomialsPolynomials in one variableMediumLevel 47
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If \(p(x)=x^2+x+1\), what is the value of \(p(-1)\)?

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Answer and explanation

Correct answer: 1

Substituting \(x=-1\) gives \(p(-1)=(-1)^2+(-1)+1=1-1+1=1\). Hence, the correct answer is 1. Note that \((-1)^2=1\), while the minus sign remains in the linear term. In exams, check the sign of each term after substitution.

Related tags

Polynomial SubstitutionNegative Integer EvaluationQuadratic Polynomial

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

Substituting \(x=-1\) gives \(p(-1)=(-1)^2+(-1)+1=1-1+1=1\). Hence, the correct answer is 1. Note that \((-1)^2=1\), while the minus sign remains in the linear term. In exams, check the sign of each term after substitution.

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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