If +i , R , is the root of the equation a₀ x^n+a₁ x^ n-1 + .+a_ n-1 x+a_n=0, a₀, a₁, . a_n R , a₀ 0 then the value of a₁ +a₂ 2 + .+a_n n is

Step-by-step solution

Hint: a₀ x^n+a₁ x^ n-1 + .+a_ n-1 x+a_n=0 divided by x^na₀+a₁ 1 x + +a_ n-1 1 x^ n-1 +a_n 1 x^n =0 put x= +i and equating imaginary part a₁ +a₂ 2 + .+a_n 2 =0