Which polynomial is obtained by simplifying (2(x-4)+5x)?
Answer and explanation
Correct answer: \(7x-8\)
Using the distributive property, \(2(x-4)=2x-8\). Therefore, \(2x-8+5x=(2x+5x)-8=7x-8\). The option \(7x+8\) results from incorrectly handling the negative sign when multiplying 2 by \(-4\). Exam tip: when opening brackets, multiply the outside number by every term inside the bracket.
Frequently asked questions
What is the correct answer to this question?
\(7x-8\)
Why is this the correct answer?
Using the distributive property, \(2(x-4)=2x-8\). Therefore, \(2x-8+5x=(2x+5x)-8=7x-8\). The option \(7x+8\) results from incorrectly handling the negative sign when multiplying 2 by \(-4\). Exam tip: when opening brackets, multiply the outside number by 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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