Question
Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 2 v^{3}-6 v^{2} \)
Ask by Tucker Vargas. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2v^{2}(v - 3) \)
Solution
The greatest common factor (GCF) of \( 2v^{3} \) and \( -6v^{2} \) is \( 2v^{2} \).
Factor out the GCF:
\[
2v^{3} - 6v^{2} = 2v^{2}(v - 3)
\]
**Answer:**
\[
2v^{2}(v - 3)
\]
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Simplify this solution Bonus Knowledge
The greatest common factor (GCF) of the terms \(2v^3\) and \(-6v^2\) is \(2v^2\). When you factor this out, you get: \[ 2v^2(v - 3) \] So the factored form of the polynomial is \(2v^2(v - 3)\). Now your expression is simplified and clearly shows the relationship between the variable components!
