Does this REMIND you of something else ?

Algebra Level 4

Considering a mysterious polynomial that returns 2 2 as a remainder upon division with x1 x - 1 and 1 1 as a remainder upon division with x2 x - 2 , find out the remainder (rr ) obtained if this polynomial is divided by (x1)(x2) (x-1)(x-2) and then calculate r(3) r(3) as a function of x x

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