Which linear polynomial is obtained by simplifying (4(3x-2))?
Answer and explanation
Correct answer: \(12x-8\)
Using the distributive property, multiply 4 by each term inside the bracket: \(4(3x-2)=4\times3x+4\times(-2)=12x-8\). Therefore, the correct linear polynomial is \(12x-8\). In \(12x+8\), the negative sign of 2 has been handled incorrectly. Exam tip: When removing brackets, multiply the outside number by every term and check the signs carefully.
Frequently asked questions
What is the correct answer to this question?
\(12x-8\)
Why is this the correct answer?
Using the distributive property, multiply 4 by each term inside the bracket: \(4(3x-2)=4\times3x+4\times(-2)=12x-8\). Therefore, the correct linear polynomial is \(12x-8\). In \(12x+8\), the negative sign of 2 has been handled incorrectly. Exam tip: When removing brackets, multiply the outside number by every term and check the signs carefully.
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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