After simplifying (3(2x-5)-2(5x+1)), which linear polynomial is obtained?
Answer and explanation
Correct answer: \(-4x-17\)
Open the brackets first: \(3(2x-5)=6x-15\) and \(-2(5x+1)=-10x-2\). Therefore, \(6x-15-10x-2=-4x-17\). Hence, the correct polynomial is \(-4x-17\). In \(-4x+17\), the sign of the constant term is incorrect. Exam tip: when a negative multiplier precedes a bracket, apply it to every term inside the bracket.
Frequently asked questions
What is the correct answer to this question?
\(-4x-17\)
Why is this the correct answer?
Open the brackets first: \(3(2x-5)=6x-15\) and \(-2(5x+1)=-10x-2\). Therefore, \(6x-15-10x-2=-4x-17\). Hence, the correct polynomial is \(-4x-17\). In \(-4x+17\), the sign of the constant term is incorrect. Exam tip: when a negative multiplier precedes a bracket, apply it to 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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