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x^2 + 2 = 2x ==> x^2 - 2x + 2 = 0
x^4 - x^3 + x^2 + 2
= x^4 - 2x^3 + 2x^2 + x^3 - x^2 + 2
= (x^4 - 2x^3 + 2x^2) + (x^3 - 2x^2 + 2x) + (x^2 - 2x + 2)
= x^2 (x^2 - 2x + 2) + x(x^2 - 2x + 2) + (x^2 - 2x + 2)
= x^2 * 0 + x * 0 + 0
= 0
x^4 - x^3 + x^2 + 2
= x^4 - 2x^3 + 2x^2 + x^3 - x^2 + 2
= (x^4 - 2x^3 + 2x^2) + (x^3 - 2x^2 + 2x) + (x^2 - 2x + 2)
= x^2 (x^2 - 2x + 2) + x(x^2 - 2x + 2) + (x^2 - 2x + 2)
= x^2 * 0 + x * 0 + 0
= 0
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