Question
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. \( 6 k^{2}+9 k \)
Ask by Nunez Brooks. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 3k(2k + 3) \)
Solution
The greatest common factor (GCF) of \( 6k^2 \) and \( 9k \) is \( 3k \). Factoring out \( 3k \) from each term:
\[
6k^2 + 9k = 3k(2k + 3)
\]
**Answer:** \( 3k(2k + 3) \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
The greatest common factor (GCF) of the terms \(6k^2\) and \(9k\) is \(3k\). Factoring \(3k\) out of the polynomial gives us \(3k(2k + 3)\). Now you've got \(3k(2k + 3)\)—which simplifies your mathematical life! Factoring not only tidies up your expressions but also makes it easier to solve equations and analyze functions. Take pride in those factoring skills!
