If (p(x)=x-4) and (q(x)=2x+1), what is (2p(x)+q(x))?
Answer and explanation
Correct answer: \(4x-7\)
Given \(p(x)=x-4\) and \(q(x)=2x+1\), \(2p(x)+q(x)=2(x-4)+(2x+1)=2x-8+2x+1=4x-7\). Hence, \(4x-7\) is correct. The option \(3x-7\) may result from incorrectly combining the \(x\)-terms in \(2p(x)\). Exam tip: Multiply each polynomial by its coefficient first, then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(4x-7\)
Why is this the correct answer?
Given \(p(x)=x-4\) and \(q(x)=2x+1\), \(2p(x)+q(x)=2(x-4)+(2x+1)=2x-8+2x+1=4x-7\). Hence, \(4x-7\) is correct. The option \(3x-7\) may result from incorrectly combining the \(x\)-terms in \(2p(x)\). Exam tip: Multiply each polynomial by its coefficient first, then combine like terms.
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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