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If (p(x)=x+r) and (q(x)=x-r), what is (p(x)+q(x))?
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Answer and explanation
Correct answer: \(2x\)
Given \(p(x)=x+r\) and \(q(x)=x-r\), \(p(x)+q(x)=(x+r)+(x-r)=x+x+r-r=2x\). The terms \(+r\) and \(-r\) cancel each other. \(2r\) would result only if the \(x\)-terms cancelled, which they do not. Exam tip: While adding polynomials, group like terms together first.
Frequently asked questions
What is the correct answer to this question?
\(2x\)
Why is this the correct answer?
Given \(p(x)=x+r\) and \(q(x)=x-r\), \(p(x)+q(x)=(x+r)+(x-r)=x+x+r-r=2x\). The terms \(+r\) and \(-r\) cancel each other. \(2r\) would result only if the \(x\)-terms cancelled, which they do not. Exam tip: While adding polynomials, group like terms together first.
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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