If (p(x)=10x-15), for which value will (p(x)=5)?
Answer and explanation
Correct answer: \(x=2\)
Given \(p(x)=10x-15\) and \(p(x)=5\), we get \(10x-15=5\). Adding 15 to both sides gives \(10x=20\), so \(x=2\). If \(x=1\), then \(p(1)=-5\), not 5. Exam tip: To find the input for a given polynomial value, equate \(p(x)\) to that value 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 \(p(x)=10x-15\) and \(p(x)=5\), we get \(10x-15=5\). Adding 15 to both sides gives \(10x=20\), so \(x=2\). If \(x=1\), then \(p(1)=-5\), not 5. Exam tip: To find the input for a given polynomial value, equate \(p(x)\) to that value 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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