If x2−1x^2 - 1x2−1 is a factor of ax4+bx3+cx2+dx+eax^4 + bx^3 + cx^2 + dx + eax4+bx3+cx2+dx+e, which of the following is true?
a+c+e=0a+c+e = 0a+c+e=0
a+c+e=b+da+c+e = b+da+c+e=b+d
a+b+c+d+e=0a+b+c+d+e = 0a+b+c+d+e=0
a−b+c−d+e=0a-b+c-d+e = 0a−b+c−d+e=0