Answer:
[tex]4\left(x^2-x-12\right)[/tex]Explanation:
We are given the expression:
[tex]4x^2-4x-48[/tex]We will proceed to factor as shown below:
[tex]\begin{gathered} \text{Each of the term is divisible by ''4''. That makes ''4'' the highest common factor. We have:} \\ 4\left(x^2-x-12\right) \\ \\ \therefore4\left(x^2-x-12\right) \end{gathered}[/tex]