If P(x)=ax2+bx+cP(x) = ax^2 + bx + cP(x)=ax2+bx+c has roots α,β\alpha, \betaα,β, which polynomial has roots α+1,β+1\alpha+1, \beta+1α+1,β+1?
a(x-1)^2 + b(x-1) + c
a(x+1)^2 + b(x+1) + c
ax^2 + (b-2a)x + (a-b+c)
a(x-1)^2 + b(x-1) + c = 0