x^6 + 1000
x^6 - 10x^4 + 10x^4 + 100x^2 - 100x^2 + 1000
x^6 - 10x^4 + 100x^2 + 10x^4 - 100x^2 + 1000
x^2(x^4) - x^2(10x^2) + x^2(100) + 10(x^4) - 10(10x^2) + 10(100)
x^2(x^4 - 10x^2 + 100) + 10(x^4 - 10x^2 + 100)
(x^2 + 10)(x^4 - 10x^2 + 100)
The factors of x^6 + 1000 is x^2 + 10 and x^4 - 10x^2 + 100.
