Red complex 1

Algebra Level 3

Let \(f( x ) ={ x }^{ 4 }+{ ax }^{ 3 }+{ bx }^{ 2 }+{ cx }+d\) be a polynomial with all real roots.

If \( | f(i) | = 1\), where \(i =\sqrt{-1} \), find \(a+b-c+d\).

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