Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. \\(48v^2 - 12v\\)

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 48 and 12, GCF is 12. For variables \(v^2\) and \(v\), GCF is \(v\). So overall GCF is \(12v\).

Step2: Factor out GCF from polynomial

Divide each term by \(12v\): \(\frac{48v^2}{12v}=4v\), \(\frac{-12v}{12v}=-1\). So factored form is \(12v(4v - 1)\).

Answer:

\(12v(4v - 1)\)