Question

Factor out the greatest common factor from the following polynomial.
5 left parenthesis x plus 1 right parenthesis plus 3 a left parenthesis x plus 1 right parenthesis
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
5 left parenthesis x plus 1 right parenthesis plus 3 a left parenthesis x plus 1 right parenthesisequals
  
enter your response here ​(Type your answer in factored​ form.)
B.
The polynomial has no common factor other than 1.

Answers

GPT-4o mini
To factor out the greatest common factor from the polynomial \( 5(x + 1) + 3a(x + 1) \), we can see that both terms share a common factor of \((x + 1)\).

Here’s how you can factor it out:

1. Identify the common factor: \((x + 1)\).
2. Factor it out from each term:

\[
5(x + 1) + 3a(x + 1) = (x + 1)(5 + 3a)
\]

Thus, the factored form of the polynomial is:

\[
(x + 1)(5 + 3a)
\]

So the complete answer is:

A. \(5(x + 1) + 3a(x + 1) = (x + 1)(5 + 3a)\)

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