Respuesta :
Answer:(x-2)(x+4)(x-6)
Step-by-step explanation:
Since it is given that x=6 is the root of the given polynomial, hence x-6 is its one of the factors. Thus A and D are rejected. Now as it is a cubic polynomial, it should have 3 roots and thus 3 factors, they can be repeated. Thus option B is rejected. Hence we need to check option C . As x-2 is a factor then f(2) should be 0.
f(2)=8-16-40+48=0
6 is already a root . As x+4 is a factor, we need to check if f(-4)=0 or not.
f(-4)= -64-64+80+48=0
Hence C is correct
