If (p(x)=6x+11), what is (p(x)-p(-x))?
Answer and explanation
Correct answer: \(12x\)
Given \(p(x)=6x+11\). Replacing \(x\) with \(-x\) gives \(p(-x)=-6x+11\). Therefore, \(p(x)-p(-x)=(6x+11)-(-6x+11)=12x\). The constant term \(11\) cancels on subtraction; \(22\) would result from addition, not subtraction. Exam tip: while finding \(p(-x)\), carefully change the sign of every term containing \(x\).
Frequently asked questions
What is the correct answer to this question?
\(12x\)
Why is this the correct answer?
Given \(p(x)=6x+11\). Replacing \(x\) with \(-x\) gives \(p(-x)=-6x+11\). Therefore, \(p(x)-p(-x)=(6x+11)-(-6x+11)=12x\). The constant term \(11\) cancels on subtraction; \(22\) would result from addition, not subtraction. Exam tip: while finding \(p(-x)\), carefully change the sign of every term containing \(x\).
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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