Question
Factor out the greatest common factor. If The greatest common factor is 1 , just retype the polynomial. \[ 3 j^{3}+6 j \]
Ask by Coleman Carlson. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The greatest common factor is \( 3j \), so the factored form of the polynomial is \( 3j(j^{2} + 2) \).
Solution
The greatest common factor (GCF) of the polynomial \( 3j^{3} + 6j \) is \( 3j \).
Factoring out the GCF:
\[
3j^{3} + 6j = 3j(j^{2} + 2)
\]
**Factored form:**
\[
3j(j^{2} + 2)
\]
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
The greatest common factor (GCF) of the terms \(3j^3\) and \(6j\) is \(3j\). Factoring \(3j\) out of the polynomial gives us \(3j(j^2 + 2)\). So, the factored form of the polynomial is: \[ 3j(j^2 + 2) \]