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If (p(x)=12x-20), for which value will (p(x)=4)?

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Answer and explanation

Correct answer: \(x=2\)

Given \(p(x)=12x-20\) and \(p(x)=4\), we get \(12x-20=4\). Adding 20 to both sides gives \(12x=24\), so \(x=2\). If \(x=1\), then \(p(x)=-8\), not 4. Exam tip: when a value of a polynomial is given, equate the polynomial to that value and solve the resulting linear equation.

Related tags

PolynomialsLinear PolynomialsLinear EquationsSubstitutionAlgebra

Frequently asked questions

What is the correct answer to this question?

\(x=2\)

Why is this the correct answer?

Given \(p(x)=12x-20\) and \(p(x)=4\), we get \(12x-20=4\). Adding 20 to both sides gives \(12x=24\), so \(x=2\). If \(x=1\), then \(p(x)=-8\), not 4. Exam tip: when a value of a polynomial is given, equate the polynomial to that value and solve the resulting linear equation.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.

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