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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