Question 758825
Divide the function by x-5 to produce a quadratic quotient.  


Through synthetic division:


5____|_____-1______7_____-9______-5
_____|
_____|___________-5______10______5
_____|_____-1______2_____1_______0


Note carefully the coefficients according to the bottom row:
{{{-x^2+2x+1}}}
Find the roots to this resulting polynomial using solution to quadratic formula.

{{{(-2+- sqrt(4-4(-1)(1)))/(-2)}}}
{{{(-2+- sqrt(8))/(-2)}}}
{{{(-2+- 2*sqrt(2))/(-2)}}}
{{{highlight(2+- sqrt(2))}}}