# Again a polynomial

Algebra Level 5

A monic polynomial $$p(x)$$ of degree 6 leaves the remainder:-

3 when divided by $$x-1$$

9 when divided by $$x-2$$

19 when divided by $$x-3$$

33 when divided by $$x-4$$

51 when divided by $$x-5$$

73 when divided by $$x-6$$

Find out the value of $$p(0)$$

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