If f(x)= | array ccc 1 & x & x+1 2 x & x(x-1) & x(x+1) 3 x(x-1) & 2(x-1)(x-2) & x(x+1)(x-1) array | then what is f(-1)+f(0)+f(1) equal to?

Step-by-step solution

f(x)= | array ccc 1 & x & x+1 2 x & x(x-1) & x(x+1) 3 x(x-1) & 2(x-1)(x-2) & x(x+1)(x-1) array | For x=-1, C₃ [ array c -1+1 -1(-1+1) -1(-1+1)(-1-1) array ]= [ array l 0 0 0 array ] For x=1 , R₃ [ array lll 3(1-1) & 2(1-1)(1-2) & (1+1)(1-1) array ]= [ array lll 0 & 0 & 0 array ] f(-1)+f(0)+f(1)=0 .