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If \(x=3\), what is the value of \(2x^3-5x^2+4\)?

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Answer and explanation

Correct answer: 13

Substituting \(x=3\) gives \(x^3=27\) and \(x^2=9\). Therefore, \(2x^3-5x^2+4=2(27)-5(9)+4=54-45+4=13\), so option C is correct. As an exam tip, evaluate powers first and then perform multiplication, addition, and subtraction in the proper order.

Related tags

PolynomialsSubstitutionValue Of ExpressionLaws Of Exponents

Frequently asked questions

What is the correct answer to this question?

13

Why is this the correct answer?

Substituting \(x=3\) gives \(x^3=27\) and \(x^2=9\). Therefore, \(2x^3-5x^2+4=2(27)-5(9)+4=54-45+4=13\), so option C is correct. As an exam tip, evaluate powers first and then perform multiplication, addition, and subtraction in the proper order.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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