Question

Let f(x) be a polynomial of degree 51 such that when f(x) is divided by (x – 1), (x – 2), (x – 3),

Answer 1

(X-1)+(x-2)+(x-3)=51

3x-6=51

3x=51+6

3x=57

X=57/3

X=19

Verify it so,

(19-1)+(19-2)+(19-3)

18+17+16

=57