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For the polynomial \(p(x)=x^2+3x+2\), what is the value of \(p(1)\)?

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Answer and explanation

Correct answer: 6

To find \(p(1)\), substitute 1 for every \(x\) in the polynomial: \(p(1)=1^2+3\times1+2=1+3+2=6\). Therefore, the correct answer is 6. The nearby option 5 may result from adding the terms incorrectly or omitting a term. Exam tip: substitute the given value for each occurrence of the variable before simplifying.

Related tags

PolynomialsOne-Variable-PolynomialsSubstitutionEvaluation

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

To find \(p(1)\), substitute 1 for every \(x\) in the polynomial: \(p(1)=1^2+3\times1+2=1+3+2=6\). Therefore, the correct answer is 6. The nearby option 5 may result from adding the terms incorrectly or omitting a term. Exam tip: substitute the given value for each occurrence of the variable before simplifying.

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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