Which polynomial is obtained by simplifying (3(x+1)+2(x-4))?
Answer and explanation
Correct answer: \(5x-5\)
Opening the brackets gives \(3(x+1)+2(x-4)=3x+3+2x-8\). Combining like terms, \(3x+2x=5x\) and \(3-8=-5\), so the polynomial is \(5x-5\). In \(5x+5\), the sign of the constant term is incorrect. Exam tip: multiply the number outside each bracket by every term inside it.
Frequently asked questions
What is the correct answer to this question?
\(5x-5\)
Why is this the correct answer?
Opening the brackets gives \(3(x+1)+2(x-4)=3x+3+2x-8\). Combining like terms, \(3x+2x=5x\) and \(3-8=-5\), so the polynomial is \(5x-5\). In \(5x+5\), the sign of the constant term is incorrect. Exam tip: multiply the number outside each bracket by every term inside it.
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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