Question

Rozłóż wielomian na czynniki:

(x

Answer 1

( x^2 + x)^4  - 1 = [ (x^2 + x)^2  - 1]*[ (x^2 + x)^2 + 1) =

= [ ( x^2 + x - 1)*( x^2 + x + 1) ] *[ x^4 + 2 x^3 + x^2 + 1 ] =

= ( x + 0,5 + 0,5 p(5)) *( x + 0,5 -0,5 p(5))*( x^2 + x + 1)*( x^4 + 2 x^3 + x^2 + 1 )