Answer:
[tex](-2x^2-3)(4x+1)[/tex]
Step-by-step explanation:
The expression that we have to factorize in this problem is
[tex]-8x^3-2x^2-12x-3[/tex]
And we have to factorize it by grouping.
First of all, we start by factorize a factor [tex]-2x^2[/tex] from the first two terms, we get:
[tex]-2x^2 (4x+1)-12x-3[/tex]
Then we factorize a term -3 from the last two terms, and we get:
[tex]-2x^2 (4x+1)-3(4x+1)[/tex]
Now we can group the similar terms, and we get:
[tex](-2x^2-3)(4x+1)[/tex]
So the correct option is option D, the last one.
