For this case we have the following polynomial:
[tex]4x ^ 2 + 23x - 6[/tex]
Rewriting the polynomial we have:
[tex]4x ^ 2 + 24x - x - 6[/tex]
Then, we can make the following common factor:
[tex]4x ^ 2 + 24x - (x + 6)[/tex]
Then, we do 4x common factor in the other remaining terms:
[tex]4x (x + 6) - (x + 6)[/tex]
Finally, we make x + 6 common factor:
[tex](x + 6) (4x-1)[/tex]
Answer:
The factored trinomial is:
[tex](x + 6) (4x-1)[/tex]
Option C and option D.
