Grade 12th passAlgebra
(Roots of unity )xn-1=(x-1)p(x) where p(x) is a polynomial of degree n-1where p(x) is a0+a1x+...+an-1xn-1. I need to solve for the coefficients ai. My attempt at solving for coefficients:(xn-1)=a0x+a1x2+...+an-1xn-a0-a1x-...-an-1xn-1where I get a0=1 and an-1=1 I do not know if this is right. I don't think I solved for all the coefficients. Please help me.
(Roots of unity )
xn-1=(x-1)p(x) where p(x) is a polynomial of degree n-1
where p(x) is a0+a1x+...+an-1xn-1. I need to solve for the coefficients ai.
My attempt at solving for coefficients:
(xn-1)=a0x+a1x2+...+an-1xn-a0-a1x-...-an-1xn-1
where I get a0=1 and an-1=1
I do not know if this is right. I don't think I solved for all the coefficients. Please help me.
