Powers of 2014 , 2015 and 2016

Algebra Level 4

If $x ^ 2 - 3x + 1 = 0$ has roots $\alpha, \beta$ , then find the value of the expression below?

$\frac{ \alpha^ {2014} + \beta ^ { 2014 } + \alpha^{2016 } + \beta ^ { 2016 } } { \alpha ^ { 2015 } + \beta ^ { 2015 } }$