Divide this polynomial.

Algebra Level 4

Suppose there exists a polynomial p(x) , which when divided by (x-1) gives a remainder -1 , when divided by (x-2) gives a remainder 3 and when divided by (x+3) gives a remainder 4. Let r(x) be the remainder when that polynomial is divided by (x-1) (x-2) (x+3) . Find the value of r(20) +2.9 .

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