If (p(x)=x+4r) and (q(x)=x-7r), what is (p(x)+q(x))?
Answer and explanation
Correct answer: \(2x-3r\)
\(p(x)+q(x)=(x+4r)+(x-7r)\). Combining like terms gives \(x+x=2x\) and \(4r-7r=-3r\). Therefore, the sum is \(2x-3r\). In \(2x+11r\), the signs of \(4r\) and \(-7r\) have been combined incorrectly. Exam tip: while adding polynomials, add coefficients of like terms along with their signs.
Frequently asked questions
What is the correct answer to this question?
\(2x-3r\)
Why is this the correct answer?
\(p(x)+q(x)=(x+4r)+(x-7r)\). Combining like terms gives \(x+x=2x\) and \(4r-7r=-3r\). Therefore, the sum is \(2x-3r\). In \(2x+11r\), the signs of \(4r\) and \(-7r\) have been combined incorrectly. Exam tip: while adding polynomials, add coefficients of like terms along with their signs.
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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