1.
Let f(x)=2x2+5x+1f(x) = 2x^2 + 5x + 1. If we write f(x)f(x) as f(x)=a(x+1)(x2)+b(x2)(x1)+c(x1)(x+1)f(x) = a(x+1)(x-2) + b(x-2)(x-1) + c(x-1)(x+1) for real numbers a,b,ca, b, c, then