F(x)=ax^4+bx^3+cx^2+dx+e
F(1)=10
F(11)=1
You asked:
Solve the system of equations:\[\begin{aligned}F\left( 1 \right) &= 10\\F\left( 11 \right) &= 1\\F\left( x \right) &= a \cdot {x}^{4} + b \cdot {x}^{3} + c \cdot {x}^{2} + d x + e\end{aligned}\]