Answer:
Option B.
Step-by-step explanation:
The given expression is
[tex]3x^2-6x-240[/tex]
We need to find the complete factored form of the given expression.
Taking out GCF, we get
[tex]3(x^2-2x-80)[/tex]
Splitting the middle term, we get
[tex]3(x^2-10x+8x-80)[/tex]
[tex]3(x(x-10)+8(x-10))[/tex]
Taking out common factor.
[tex]3(x-10)(x+8)[/tex]
[tex]3(x+8)(x-10)[/tex]
It is the complete factored form.
Hence, the correct option is B.