Question: When the polynomial, (x) is divided by (x- 1) the remainder is 7, and when it is divided by (x 3) the remainder is

When the polynomial, (x) is divided by (x- 1) the remainder is

When the polynomial, (x) is divided by (x- 1) the remainder is 7, and when it is divided by (x 3) the remainder is 13. Find, by writing f (x) = (x- 1)(x 3)Q(x) + ax +b the remainder when f(x) is divided by (x-1)(x- 3). If also f(x) is a cubic function in which the coefficient of x' is unity and A2) = 6, determine Q(x). %3D

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