if f has remainder 1 when divided by (x-1), then f(1) = 1

if f has remainder 25 when divided by (x+1), then f(-1) = 25

if f has remainder 1 when divided by (x-2), then f(2) = 1

a + b + c = 1

a - b + c = 25

4a + 2b + c = 1

solve for a, b, and c

if is a perfect square, then