Hva er standardformen for y = (2x + 4) (- x + 5) (- x + 1)?

Hva er standardformen for y = (2x + 4) (- x + 5) (- x + 1)?
Anonim

Svar:

#y = -2x ^ 3-8x ^ 2-14x + 1 #

Forklaring:

#y = (-2x ^ 2 + 10x-4x + 20) (- x + 1) #

#y = (-2x ^ 2 + 6x + 20) (- x + 1) #

#y = -2x ^ 3-2x ^ 2-6x ^ 2 + 6x-20x + 1 #

#y = -2x ^ 3-8x ^ 2-14x + 1 #

Alltid faktor jo vanskeligere en først, ellers faktor venstre til høyre.

Svar:

#COLOR (blå) (y = 2x ^ 3-8x ^ 2-14x + 20 #

Forklaring:

# Y = (2x + 4) (- x + 5) (- x + 1) #

#COLOR (hvit) (aaaaaaaaaaaaa) ## 2x + 4 #

#COLOR (hvit) (aaaaaaaaaa) ## xx understreke (-x + 5) #

#COLOR (hvit) (aaaaaaaaaaa) ## -2x ^ 2-4x #

#COLOR (hvit) (aaaaaaaaaaaaaaaaa) ## 10x + 20 #

#COLOR (hvit) (aaaaaaaaaaa) ##overline (-2x ^ 2 + 6x + 20) #

#COLOR (hvit) (aaaaaaaa) ## xx -x + 1 #

#COLOR (hvit) (aaaaaaaaaaaa) ##overline (2x ^ 3-6x ^ 2-20x) #

#COLOR (hvit) (aaaaaaaaaaaaaaa) ## -2x ^ 2 + 6x + 20 #

#COLOR (hvit) (aaaaaaaa) ##COLOR (blå) (y = overlinje (2x ^ 3-8x ^ 2-14x + 20) #