If (p(x)=x+3r) and (q(x)=x-5r), what is (p(x)+q(x))?
Answer and explanation
Correct answer: \(2x-2r\)
In \(p(x)+q(x)=(x+3r)+(x-5r)\), combine like terms: \(x+x=2x\) and \(3r-5r=-2r\). Hence, the sum is \(2x-2r\). The expression \(x-2r\) incorrectly leaves out one \(x\) term. Exam tip: while adding polynomials, combine only terms with the same variable and exponent.
Frequently asked questions
What is the correct answer to this question?
\(2x-2r\)
Why is this the correct answer?
In \(p(x)+q(x)=(x+3r)+(x-5r)\), combine like terms: \(x+x=2x\) and \(3r-5r=-2r\). Hence, the sum is \(2x-2r\). The expression \(x-2r\) incorrectly leaves out one \(x\) term. Exam tip: while adding polynomials, combine only terms with the same variable and exponent.
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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