Will give
factor completely x3 + 6x2 + 8x + 48.
a. (x − 6)(x2 − 8)
b. (x − 6)(x2 + 8)
c. (x + 6)(x2 − 8)
d. (x + 6)(x2 + 8)

The answer is Option B

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.  

So  polynomial can be  grouped as

Step 2:Find what's the common in each section.

In section  the come term is

In section (8x + 48)  the come term is 8

Step 3:Factor the commonalities out of the two terms.

Factoring out from the first section  , we get  

Factoring out 8 from the second section(8x + 48) ,  we will get 8(x + 6).

Step 4: Combine the factors together for terms contains the same factor,

Combining we get,

a. is correct