using descarte's Rule of signs
7 is one of the zeros of f(x)
first get the numerical coeffiients of f(x) then divide it by 7
1 -16 86 -176 105 ...7...
______7____-63____161_____-105_________________
1 -9 23 -15 0
if the remeinder is 0 ...then 7 is a root of f(x)
..study more on descarte's Rule of signs... :D
hope it helps :D