Question

Choose one of the factors of x6 + 1000

x2

x2 – 10

x4 – 10x2 + 100

x4 + 10x2 + 100

I know the answer is x4-10x2+100 but why is that the answer I'm a bit confused

Answer 1

\[x^6+1000=(x^2)^3+10^3\]

Answer 2

Factor it using:
\[a^3+b^3=(a+b)(a^2-ab+b^2)\]

Answer 3

x4 + 10x2 + 100