If (p(x)=2x-3) and (q(x)=x+5), what is (2p(x)-q(x))?
Answer and explanation
Correct answer: \(3x-11\)
Given \(p(x)=2x-3\) and \(q(x)=x+5\), \(2p(x)-q(x)=2(2x-3)-(x+5)=4x-6-x-5=3x-11\). Hence, \(3x-11\) is correct. \(3x+11\) can result from incorrectly handling the minus sign before \((x+5)\). Exam tip: when subtracting a polynomial in brackets, change the sign of every term inside the bracket.
Frequently asked questions
What is the correct answer to this question?
\(3x-11\)
Why is this the correct answer?
Given \(p(x)=2x-3\) and \(q(x)=x+5\), \(2p(x)-q(x)=2(2x-3)-(x+5)=4x-6-x-5=3x-11\). Hence, \(3x-11\) is correct. \(3x+11\) can result from incorrectly handling the minus sign before \((x+5)\). Exam tip: when subtracting a polynomial in brackets, change the sign of every term inside the bracket.
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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