What is the remainder when the polynomial(x-1)(x-2)(x-3)is divided by (x-1)?

The quotient is x^2-5x+6 when the polynomial p(x) is divided by (x-1), and the remainder is 7.Then:- p(x)=(.....) (……...)+7.Complete it.

The quotient is x^2-5x+6 when the polynomial p(x) is divided by (x-1), and the remainder is 7.Then:- Find P(2).

Find the remainder when x^3- 4x^2+12x -45 is divided by (x-2) ?

Consider the polynomial p(x)= x^2-5x+6 :- Find the remainder when p(x) is divided by (2x-1).

When (x-1) (x-2) (x-3)+ 2x+k is divided by (x-1),the remainder is 10. Then find out the remainder when it is divided by (x-2).

Find the value of k if remainder when 5x^3 + 4x^2- 11x + k is divided by (x - 1) is 0.

Consider the polynomial P(x)=ax^3-x^2-bx-1 .Find P(1) .