Which polynomial is obtained by simplifying (5(x-1)+3(x+2))?
Answer and explanation
Correct answer: \(8x+1\)
On opening the brackets, \(5(x-1)+3(x+2)=5x-5+3x+6\). Combining like terms gives \(5x+3x=8x\) and \(-5+6=1\), so the polynomial is \(8x+1\). \(8x-1\) is the closest distractor, but it uses an incorrect sum of the constant terms. Exam tip: Multiply the number outside each bracket by every term inside it.
Frequently asked questions
What is the correct answer to this question?
\(8x+1\)
Why is this the correct answer?
On opening the brackets, \(5(x-1)+3(x+2)=5x-5+3x+6\). Combining like terms gives \(5x+3x=8x\) and \(-5+6=1\), so the polynomial is \(8x+1\). \(8x-1\) is the closest distractor, but it uses an incorrect sum of the constant terms. 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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