If (p(x)=8x-12), for which value will (p(x)=4)?
Answer and explanation
Correct answer: \(x=2\)
Given \(p(x)=8x-12\) and \(p(x)=4\), we get \(8x-12=4\). Adding 12 to both sides gives \(8x=16\), so \(x=2\). For example, \(x=1\) gives \(p(1)=-4\), so it is not correct. Exam tip: when a value of a polynomial is given, substitute that value for \(p(x)\) and solve the resulting equation.
Frequently asked questions
What is the correct answer to this question?
\(x=2\)
Why is this the correct answer?
Given \(p(x)=8x-12\) and \(p(x)=4\), we get \(8x-12=4\). Adding 12 to both sides gives \(8x=16\), so \(x=2\). For example, \(x=1\) gives \(p(1)=-4\), so it is not correct. Exam tip: when a value of a polynomial is given, substitute that value for \(p(x)\) and solve the resulting 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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