# Polynomial. Again?

Algebra Level 3

Suppose a polynomial $$p(x)$$ such that it has a the following properties:
- Leaves a remainder $$a$$ on division by $$(x-a)$$,
- Leaves a remainder $$b$$ on division by $$(x-b)$$,
- Leaves a remainder $$c$$ on division by $$(x-c)$$.

Find the remainder when $$p(x)$$ is divided by $$(x-a)(x-b)(x-c)$$.

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