Question 28755
If x+2 is a factor then x=-2 is a root.
Set up the synthetic  9 10 -17 -2 and use -2 as the root.
You get a quotient of 9x^2-8x-1
The sum of these coefficients is zero so x=1 is a root.
Set up the synthetic of 9 -8 -1 and use 1 as a root .
You get a quotient of 9x+1.
Set that equal to zero to get x=-1/9
The roots are -2,1,-1/9
Cheers,
Stan H.