Question

Descompuneti in factori:
a)$x^{2}$ - 5x+4=
b)$x^{2}$ - 5x+6=
c)$x^{2}$ - 7x+10=
d)$x^{2}$ - 10x+24=
Va rogggggg e urgent!!

Answer 1

a . x² - 4x  - x  + 4 = x ( x -4 )  - ( x - 4 ) = (  x - 4) ·( x -1 ) 
b.  x²  - 3x - 2x  + 6 = x ( x -3)  - 2( x -3) = ( x -2 ) ·( x -3) 
c.  x² - 5x - 2x  + 10 = x ( x -5) -2( x -5 ) = ( x -2 ) ( x -5 ) 
d.     x²  - 6x - 4x  + 24 = x( x -6 )  - 4( x -6 ) = ( x - 6 ) ( x -4 ) 

Answer 2

$a).x^2-5x+4=x^2-4x-x+4=x(x-4)-(x-4)=(x-4)(x-1) \\ \\ b).x^2-5x+6=x^2-2x-3x+6=x(x-2)-3(x-2)= \\ =(x-2)(x-3) \\ \\ c).x^2-7x+10=x^2-2x-5x+10=x(x-2)-5(x-2)= \\ =(x-2)(x-5) \\ \\ d).x^2-10x+24=x^2-6x-4x+24=x(x-6)-4(x-6)= \\ =(x-6)(x-4)$