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If (p(x)=x+s) and (q(x)=x-2s), what is (p(x)+q(x))?
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Answer and explanation
Correct answer: \(2x-s\)
\(p(x)+q(x)=(x+s)+(x-2s)\). Combining like terms gives \(x+x=2x\) and \(s-2s=-s\). Therefore, the sum is \(2x-s\). \(2x+s\) is incorrect because \(s-2s=-s\), not \(s\). Exam tip: Remove brackets first, then combine terms with the same variable or parameter.
Frequently asked questions
What is the correct answer to this question?
\(2x-s\)
Why is this the correct answer?
\(p(x)+q(x)=(x+s)+(x-2s)\). Combining like terms gives \(x+x=2x\) and \(s-2s=-s\). Therefore, the sum is \(2x-s\). \(2x+s\) is incorrect because \(s-2s=-s\), not \(s\). Exam tip: Remove brackets first, then combine terms with the same variable or parameter.
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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