Can You Solve This?

Algebra Level 3

\(P(x)=Ax^{3}+Bx^{2}+Cx+D\)

What is \(A-B-C-D\) when

\(P(0)=1\)

\(P(1)=8\)

\(P(2)=17\)

\(P(3)=31\)

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