Question

The remainder when x100 is
divided by x² – 3x +2 is​

Answer 1

solution

x²-3x+2= ( x-2) ( x-1)

root= 2 and 1

if x^100 is divided then remainder is calculated to

put the value of root one by one in x^100 and

then multiplying both values

or x^100= ( 1 )^100= 1

x^100 = (2)^100

therefore

remainder= 1×2^100= 2^100

Answer