# Does this REMIND you of something else ?

Algebra Level 4

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

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