# Simple addition of remainders or what?

Algebra Level 3

Let $$p(x)$$ be a polynomial which when divided by $$(x-19)$$ gives a remainder of 91 and when divided by $$(x-91)$$ gives a remainder of $$19.$$ Find \the remainder, when $$p(x)$$ is divided by $$(x-19)(x-91)$$.

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