# Blockage

Algebra Level 4

Let $$f(x)$$ be a polynomial of degree greater than 3 which when divided by $$(x-1)^2$$ and $$(x-3)$$ leave remainders $$(2x-1)$$ and $$15$$ respectively.

If $$f(x)$$ when divided by $$(x-1)^2(x-3)$$ leaves a remainder of the form $$ax^2+bx+c$$, then find the value of $$a+2b$$ is :

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