Teorema del residuo hallar el residuo de: x³-5x²+2×+1 dividido en x-7 x³-2×+7 dividido en x-8

See the attach image for all explanation. I have done this by hand because its very difficult or impossible to write the division method here.

I have done first part with both synthetic(short ) and long division and describe both method for you, both method give the same answer, the second question is only done with long division.  

Dis the correct  answer