Which binomial is a factor of x4 − 4x2 − 4x 8?

The given polynomial is

As this is a fourth degree polynomial, we can not directly use any formula, So here we will use hit and trial method

check whether x=-1 is a zero of the polynomial or not

Hence x=-1 is not a zero.

Now check whether x=-2 is a zero of the polynomial or not

Hence x=-2 is a zero of the polynomial.

Hence we can re-write the polynomial as

Hence the required binomial is (x+2)

4x and 6y

im not sure though