Find integers a and b such that x^2_x-1 divides ax¹⁷+bx¹⁶+1=0

Hi,

Perform the long division for the two equations.
The division will go till u cancel all x terms, in the end some constants will be left, you have to equate them to zero, coz if the first equation divides the second than the remainder must be zero.

Calculate a and b then.