New Year Function

Algebra Level 4

\(A\quad degree\quad 5\quad polynomial\quad gives\quad the\quad following\quad values:-\\ P(1)=P(2)=P(3)=P(4)=P(5)=1\\ \\ Find\quad \frac { P(2015)-1 }{ P(2014)-1 } =\frac { a }{ b } \quad in\quad lowest\quad form.\quad Find\quad a+b.\)

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