Question

Descompuneti in factori: x² + x - 6

Answer 1

       - 6  = - 4  - 2 
= x² - 4  +( x - 2 ) = ( x - 2  ) · ( x +2 ) + ( x -2) =
= ( x -2 ) ·( x +2 + 1 ) = ( x -2 ) · ( x + 3 ) 

Answer 2

$x^2+x-6=x^2-6+x=x^2-4-2+x=x^2-4+x-2= \\ =(x+2)(x-2)+x-2=(x-2)(x+2)+(x-2)= \\ =(x-2)(x+2+1)=(x-2)(x+3)$