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.
5 left parenthesis x plus 1 right parenthesis plus 3 a left parenthesis x plus 1 right parenthesis
Question content area bottom
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. \(5(x + 1) + 3a(x + 1) = (x + 1)(5 + 3a)\)
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. \(5(x + 1) + 3a(x + 1) = (x + 1)(5 + 3a)\)