A polynomial p(X) of degree more than 2 has a remainder of 9 when divided by (X+2) and a remainder of -1 when divided by (x-3),find p(X)

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Answer 1

A polynomial p(X) of degree more than 2 has a remainder of 9 when divided by (X+2) and a remainder of -1 when divided by (x-3),find p(X)

This question does not have a unique solution as it stands.

I have already found two cubic equations that satisfy the given conditions.

p1(x) = x^3 - 4x^2 - 5x + 23

p2(x) = x^3 +x^2 - 10x - 7

Both p1(x) and p2(x) divided by (x+2) leave a remainder of 9, and 

Both p1(x) and p2(x) divided by (x-3) leave a remainder of -1.