polynomial expansion

Algebra Level pending

Let f ( x ) f(x) be a cubic polynomial. If f ( x ) f(x) is divided by 2 x + 3 2x + 3 the remainder is 4, while if it is divided by 3 x + 4 3x + 4 , the remainder is 5. What will be the remainder when f ( x ) f(x) is divided by 6 x 2 + 17 x + 12 6x^2 + 17x + 12 ?

13x-6 13x+6 6x-13 6x+13

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