If x2+1x^2 + 1x2+1 is a factor of x4+ax3+bx2+cx+dx^4 + ax^3 + bx^2 + cx + dx4+ax3+bx2+cx+d, which of the following must be true?
a = c and b = d + 1
a = c and b = d - 1
a = -c and b = d + 1
a^2 = c^2 and b = d