If (p(x)=x+2) and (q(x)=2x+1), what is (p(x)+q(x))?
Answer and explanation
Correct answer: \(3x+3\)
Adding the given polynomials gives \(p(x)+q(x)=(x+2)+(2x+1)\). Combining like terms, \(x+2x=3x\) and \(2+1=3\), so the sum is \(3x+3\). In \(2x+3\), the terms \(x\) and \(2x\) have not been added correctly. Exam tip: While adding polynomials, combine variable terms and constant terms separately.
Frequently asked questions
What is the correct answer to this question?
\(3x+3\)
Why is this the correct answer?
Adding the given polynomials gives \(p(x)+q(x)=(x+2)+(2x+1)\). Combining like terms, \(x+2x=3x\) and \(2+1=3\), so the sum is \(3x+3\). In \(2x+3\), the terms \(x\) and \(2x\) have not been added correctly. Exam tip: While adding polynomials, combine variable terms and constant terms separately.
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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