Do you know the reverse process? 2

Algebra Level 5

\(f(x)=ax^3+bx^2+cx+d\) such that \(a,b,c,d \epsilon N\)

Gives,

\(f(1)+f(2)=51\)

\(f(2)+f(3)=111\)

\(f(3)+f(4)=213\) and,

\(f(5)=231\)

Then evaluate ,

\((\sum a,b,c,d)(\prod a,b,c,d)\)

This problem is original.

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