If (p(x)=x+5r) and (q(x)=x-8r), what is (p(x)+q(x))?
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Answer and explanation
Correct answer: \(2x-3r\)
\(p(x)+q(x)=(x+5r)+(x-8r)\). Combining like terms gives \(x+x=2x\) and \(5r-8r=-3r\). Therefore, the sum is \(2x-3r\). The option \(2x+13r\) results from incorrectly ignoring the negative sign before \(8r\). Exam tip: When adding polynomials, remove brackets carefully and check the sign of every term.
Frequently asked questions
What is the correct answer to this question?
\(2x-3r\)
Why is this the correct answer?
\(p(x)+q(x)=(x+5r)+(x-8r)\). Combining like terms gives \(x+x=2x\) and \(5r-8r=-3r\). Therefore, the sum is \(2x-3r\). The option \(2x+13r\) results from incorrectly ignoring the negative sign before \(8r\). Exam tip: When adding polynomials, remove brackets carefully and check the sign of every term.
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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