# An algebra problem by atishay jain

Algebra Level 3

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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