find the remainder when x to the power 45, is divided by x to the power 2 - 1.
Answers
Answered by
0
the answer is x to the power 44.
agrawal:
you are absolutely wrong because the answer is x but the only thing i wanted to know was how to solve this problem.
Answered by
3
x^2 - 1 | x^45 | x^43 +x^41 +x^39 .............+x
|x^45 -x^43 (on substracting)
| x^43
| x^43 - x^41 (on substracting)
| x^41
| x^41 - x^39 (on substracting)
| x^39
and so on
| x^3
| x^3 - x (on substracting)
| x
so remainder is x
|x^45 -x^43 (on substracting)
| x^43
| x^43 - x^41 (on substracting)
| x^41
| x^41 - x^39 (on substracting)
| x^39
and so on
| x^3
| x^3 - x (on substracting)
| x
so remainder is x
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