If (p(x)=15-5x), which is (p(2x))?
Answer and explanation
Correct answer: \(15-10x\)
Given \(p(x)=15-5x\), substitute the entire input \(2x\) for \(x\): \(p(2x)=15-5(2x)=15-10x\). Hence, option B is correct. In option C, \(x\) has not been replaced at all. Exam tip: in \(p(2x)\), replace only the input \(x\) by \(2x\); the constant term 15 remains unchanged.
Frequently asked questions
What is the correct answer to this question?
\(15-10x\)
Why is this the correct answer?
Given \(p(x)=15-5x\), substitute the entire input \(2x\) for \(x\): \(p(2x)=15-5(2x)=15-10x\). Hence, option B is correct. In option C, \(x\) has not been replaced at all. Exam tip: in \(p(2x)\), replace only the input \(x\) by \(2x\); the constant term 15 remains unchanged.
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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