Question

E) i. Factor the GCF, first, then factor completely.1) 3v^2- 27v – 302) 6n² + 72n + 192

Answer 1

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)

`3v^2-27v-30`

If we look at all the factors the only common factor between them is "3", therefore:

`3\cdot(v^2-9v-10)`

2)

`6n^2+72n+192`

If we look at all the factors the only common factor between them is "6", therefore:

`6\cdot(n^2+12n+32)`