# Roots of a cubic function

Algebra Level 4

Let $$a,b,c,d,e$$ and $$f$$ be constant real numbers such that the roots (for $$x$$) in $$x^3 + ax^2+bx-105 = 0$$ are each two more than the roots (for $$x$$) in $$x^3-dx^2 + ex - f= 0$$. Determine the value of $$4d + 2e + f$$.

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