Question

explanation of "The remainder when x^45 is divided by x^2-1 is ​

Answer 1

(1/2)x^45(1/(x-1) - 1/(x+1))

the remainder for each of the terms above is easily found by the remainder theorem so the remainder r of x^45/(x^2-1) is found using these:

r/(x^2-1) = (1/2)(1/(x-1) + 1/(1+x))

= x/(x^2-1)

r=x

hope this answer helpful u