Question

Q: what is the complete factorization of the polynomial below x^3+4x^2-x-4?

A. (x+1)(x-1)(x+4)
B. (x-1)(x-1)(x-4)
C. (x+1)(x-1)(x-4)
D. (x-1)(x-1)(x+4)

Answer 1

x^3 + 4x^2 - x - 4
= x^2(x + 4) - (x + 4)
= (x^2 - 1)(x + 4)
= (x + 1)(x - 1)(x + 4)

answer
A. (x+1)(x-1)(x+4)

Answer 2

A is the correct choice to the question