Roots of Complex Numbers

Algebra Level 3

If \(\alpha ,{ \alpha }^{ 2 },{ \alpha }^{ 3 } \) and \({ \alpha }^{ 4 } \) are the non-real roots of \({ x }^{ 5 }-1=0 \), find the value of \((1-{ \alpha })(1-{ \alpha }^{ 2 })(1-{ \alpha }^{ 3 })(1-{ \alpha }^{ 4 }) \).

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