Question

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

Answer 1

x^2-3x+2) x^100 (x^50
x^100-3x^51+2x^50
(-) (+) (-)
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3x^51 - 2x^50
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quotient - x^50
remainder - 3x^51+2x^50


Formula used: a^m x a^n = a^(m+n)