Find the remainder when x^100 is divided by x^2 -3x +2 ?

Asked by Lalit Sharma | 29th Mar, 2012, 01:04: PM

Expert Answer:

a + b = 1100 = 1 , 2a + b = 2100 , On subtracting we get , a = 2100 - 1 , b = 2 - 2100 ,
 
WE can sustitute the value in the equation we get , (2100 - 1)x + (2 - 2100)
 
= 2100(x-1) + (2 - x)
 
which on further division gives remainder = 2100 - 1

Answered by  | 29th Mar, 2012, 05:52: PM

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