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descompuneti in factori : E(x)=x^4+x^2-2

Răspuns :

E(x) = x^4 + x² - 2
E(x) = x^4 + 2x² - x² - 2
E(x) = x² × ( x² + 2 ) - ( x² + 2 )
E(x) = ( x² + 2 )( x² - 1 )
E(x) = ( x² + 2 )( x - 1 )( x + 1 )
= x^4 + 2x^2 - x^2 - 2 = 
   x^2 ( x^2 + 2) - (x^2 + 2 )= 
  (x^2 + 2) ( x^2 - 1 ) = 
  (x^2 + 2)(x - 1)(x + 1)