An algebra problem by atishay jain

Algebra Level pending

A polynomial function \(f(x)\) is of degree 4 and with leading coefficient 1. The real roots to \(f(x)=0\) are \(a\), \(b\), \(c\), and \(d\). It is given that

\[a\big[1+ c + d+ b(1 + c)(1 + d)\big] + b(1 + c)(1 + d) + c(1+d) + d(1 + ac) = 98\]

Find the value of \(f(-1)\).

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