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