Consider the polynomial p(x)=7x3+4x2−112x−64.

Part A: What is the complete factorization of p(x)=7x3+4x2−112x−64 over the integers?

Part B: What methods are used to factor p(x)=7x3+4x2−112x−64?

Select one answer for Part A and select all answers that apply for Part B.

A: (7x+4)(x2−16)
B: perfect-square trinomial
A: (7x+4)(x−4)(x+4)
B: grouping
B: difference of squares
A: (7x+4)(49x2+28x+16)
A: (7x+4)(x2+56x+16)
B: difference of cubes

My answer is
A: (7x+4)(x2+56x+16)
B: difference of squares