Answer :
The GCF stands for "greatest common factor", it means the greatest monomial or number that is a factor of all the elements in the expressions. To factor the expressions we must find this number or monomial and divide all the numbers by it, representing the expression as a product of the GCF with the divided expression. This is done below:
1)
[tex]3v^2-27v-30[/tex]If we look at all the factors the only common factor between them is "3", therefore:
[tex]3\cdot(v^2-9v-10)[/tex]2)
[tex]6n^2+72n+192[/tex]If we look at all the factors the only common factor between them is "6", therefore:
[tex]6\cdot(n^2+12n+32)[/tex]