The answer is Option B [tex](x + 6)(x^2 + 8)[/tex]
Step-by-step explanation:
Step 1: Group the given cubic polynomial into two sections.
So polynomial can be grouped as
[tex](x^3 + 6x^2) + (8x + 48)[/tex]
Step 2:Find what's the common in each section.
In section [tex](x^3 + 6x^2)[/tex] the come term is [tex]x^2[/tex]
In section (8x + 48) the come term is 8
Step 3:Factor the commonalities out of the two terms.
Factoring out [tex]x^2[/tex] from the first section [tex](x^3 + 6x^2)[/tex], we get [tex] x^2(x + 6)[/tex]
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,[tex]\left(x+6\right)\left(x^2+8\right)[/tex]
[tex]\left(x+6\right)\left(x^2+8\right)[/tex]
