If (p(x)=3x+6) and (q(x)=2x+5), what is (p(x)+q(x))?
Answer and explanation
Correct answer: \(5x+11\)
When adding polynomials, add only like terms. Here, \(3x\) and \(2x\) are like terms, so \(3x+2x=5x\). The constant terms give \(6+5=11\). Therefore, \(p(x)+q(x)=5x+11\). Option \(6x+11\) incorrectly adds the coefficients of the \(x\)-terms. Exam tip: add variable terms and constant terms separately.
Frequently asked questions
What is the correct answer to this question?
\(5x+11\)
Why is this the correct answer?
When adding polynomials, add only like terms. Here, \(3x\) and \(2x\) are like terms, so \(3x+2x=5x\). The constant terms give \(6+5=11\). Therefore, \(p(x)+q(x)=5x+11\). Option \(6x+11\) incorrectly adds the coefficients of the \(x\)-terms. Exam tip: add 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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