If x3+ax2+bx+cx^3 + ax^2 + bx + cx3+ax2+bx+c is divisible by (x+1)(x + 1)(x+1) and (x−2)(x - 2)(x−2), what constraints exist on a,b,ca, b, ca,b,c?
1+a+b+c=01 + a + b + c = 01+a+b+c=0 and 8+4a+2b+c=08 + 4a + 2b + c = 08+4a+2b+c=0
a+b+c=0a + b + c = 0a+b+c=0 only
c=0c = 0c=0
a=b=ca = b = ca=b=c