c, x^{4}-12x^{3}+12x^{2}-12x+111= x^{3}(12-11)+12x(x-1)+111 = x^{3}.1+12x(x-1)+111(*)thay x =11 vào (*) ta có11^{3}+12.11.10+111 = 11(11^{2}+12.10)+111 = 11.241 + 111 = 2651 + 111 = 2762
c, x^{4}-12x^{3}+12x^{2}-12x+111= x^{4}-11x^{3}-x^{3}+11x^{2}+x^{2}-11x-x+111 = x^{3}(x-11)-x^{2}(x-11)+x(x-11)-x+111(*)thay x =11 vào (*) ta có11^{3}.0-11^{2}.0+11.0-11+111 =100