Confusing Polynomials...

Algebra Level 2

A polynomial f ( x ) f(x) with rational coefficient leaves remainder 15 , when divided by x 3 x-3 and remainder 2 x + 1 2x+1 , when divided by ( x 1 ) ( x 1 ) (x-1)(x-1) . Then the remainder when f ( x ) f(x) is divided by ( x 3 ) ( x 1 ) ( x 1 ) (x-3)(x-1)(x-1) is ?

2x*x - x - 1 2x*x - 2x + 3 x*x - x - 3 2x*x + 2x + 3

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