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Class 10MathematicsPolynomialsPolynomials in one variableEasyLevel 47
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For the polynomial \(p(x)=2x^2-3x+4\), what is the value of \(p(-1)\)?

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Answer and explanation

Correct answer: 9

Substituting \(x=-1\), we get \(p(-1)=2(-1)^2-3(-1)+4=2+3+4=9\). Hence, 9 is correct. Remember that \((-1)^2=1\) and \(-3(-1)=+3\); treating either sign incorrectly can lead to distractor values. Exam tip: Always place a negative substituted value in brackets.

Related tags

Polynomial EvaluationSubstitutionNegative NumbersQuadratic Polynomial

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

Substituting \(x=-1\), we get \(p(-1)=2(-1)^2-3(-1)+4=2+3+4=9\). Hence, 9 is correct. Remember that \((-1)^2=1\) and \(-3(-1)=+3\); treating either sign incorrectly can lead to distractor values. Exam tip: Always place a negative substituted value in brackets.

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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  5. 5If p(x) = x² − 2√2x + 2, which is the correct factorized form of p(x)?
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  10. 10What is the constant term of the polynomial \(7x^2+5x-11\)?
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