Question

Choose one of the factors of x6 + 1000.


x2
x2 - 10
x4 - 10x2 + 100
x4 + 10x2 + 100

Answer 1

\[x ^{6}+1000\] has two factors, one of those listed is one of them
keep in mind that
\[x ^{6}=(x ^{2})^{3}\]
\[1000=10^{3}\]
\[a ^{3}+b ^{3}=(a+b)(a ^{2}-ab+b ^{2})\]