Find integers a and b such that x 2_ x-1 divides ax 17 +bx 16 +1=0

Question

Yash Baheti · Answer

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.

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Find integers a and b such that x 2_ x-1 divides ax 17 +bx 16 +1=0

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

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Find integers a and b such that x 2_ x-1 divides ax 17 +bx 16 +1=0

Find integers a and b such that x2_x-1 divides ax17+bx16+1=0

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