After simplifying (5(x-2)-3x+4), which polynomial is obtained?
Answer and explanation
Correct answer: \(2x-6\)
On opening the bracket, \(5(x-2)=5x-10\). Therefore, \(5x-10-3x+4=2x-6\). Hence, the correct polynomial is \(2x-6\). The close distractor \(2x+6\) can result from incorrectly adding the constant terms \(-10\) and \(+4\). Exam tip: first use the distributive property to open brackets, then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(2x-6\)
Why is this the correct answer?
On opening the bracket, \(5(x-2)=5x-10\). Therefore, \(5x-10-3x+4=2x-6\). Hence, the correct polynomial is \(2x-6\). The close distractor \(2x+6\) can result from incorrectly adding the constant terms \(-10\) and \(+4\). Exam tip: first use the distributive property to open brackets, 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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