If `alpha_(1),alpha_(2),alpha_(3)......alpha_(n)` are roots of the equation `f(x)=0` then `(-alpha_(1),-alpha_(2),-alpha_(3),......alpha_(n))` are the roots of

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

if alpha_(1),alpha_(2),.... alpha_(8) are the 8 th roots of unity then:

If alpha_(1),alpha_(2),alpha_(3),.........,alpha_(n) are the roots of f(x)=0 then the equation whose roots (alpha_(1))/(K),(alpha_(2))/(K),(alpha_(3))/(K),.........(alpha_(n))/(K) is where , K!=0

If alpha_(1) , alpha_(2) , alpha_(3) , alpha_(4) are the roots of the equation 3x^(4)-(l+m)x^(3)+2x+5l=0 and sum alpha_(1)=3 , alpha_(1)alpha_(2)alpha_(3)alpha_(4)=10 then (l,m)

If 1,alpha_(1),alpha_(2)......alpha_(n-1) are n^(th) roots of unity then (1)/(1-alpha_(1))+(1)/(1-alpha_(2))+......+(1)/(1-alpha_(n-1))=

If alpha_(1),,alpha_(2),...,alpha_(n) are the roots of equation x^(n)+nax-b=0, show that (alpha_(1)-alpha_(2))(alpha_(1)-alpha_(2))...(alpha_(1)-alpha_(n))=n(alpha_(1)^(n-1)+a)

If 1,alpha_(1),alpha_(2),………..,alpha_(n-1) are nk^(th) roots of unity, then the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))……(1-alpha_(n-1)) is equal to

If 1,alpha_(1),alpha_(2),...,alpha_(n-1) are n^( th) roots of unity then (1)/(1-alpha_(1))+(1)/(1-alpha_(2))+....+(1)/(1-alpha_(n-1))=

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the fifth roots of unity then sum_(i=1)^(4)(1)/(2-alpha_(i))=