Let \(f(x)\) be a monic cubic polynomial, and let \(p(x), q(x)\) and \(r(x)\) be polynomials such that \(f(x)=p(x)(x-1)+1=q(x)(x-2)+1=r(x)(x-3)+1\) Find \(f(4)\)
I have tried 1, and f(4) is not 1.
All help is appreciated! Thanks!!!
f(4) = 38.
As follows: