Question

Solve the equation by factoring:
x^4 - x = 0

Answer 1

\[\Large x^4 - x = 0\]
\[\Large x(x^3 - 1) = 0\]
\[\Large x(x^3 - 1^3) = 0\]
\[\Large x(x - 1)(x^2+1*x+1^2) = 0\]
\[\Large x(x - 1)(x^2+x+1) = 0\]
I'll let you finish.
Note: I factored \(\Large x^3 - 1\) using the difference of cubes factoring rule.