find a,b and c if a(x-1)^2+b(x-1)+c=x^2

Answer 1

a(x-1)^2+b(x-1)+c = ax^2 + (-2a+b)x + a-b+c
for the two polynomials to be identical, all the coefficients must be the same. That is,
a = 1
-2a+b = 0
a-b+c = 0
looks like b=2 and c=1
check:
(x-1)^2 + 2(x-1) + 1 = ((x-1)+1)^2 = x^2

Answer 2

Thanks so much man