Aký je podiel (2x ^ 3-3x ^ 2-14x-15) / (x-3)?

Aký je podiel (2x ^ 3-3x ^ 2-14x-15) / (x-3)?
Anonim

odpoveď:

# = (X-1), (2x + 5) -30 / (x-3) #

vysvetlenie:

# (2x ^ 3-3x ^ 2-14x-15) / (x-3) #

# = (2 x ^ 3-6x ^ 2 + 3 ^ 2-9x-5x + 15-30) / (x-3) #

# = (2x ^ 2 (x-3) + 3 (X-3) -5 (X-3) -30) / (x-3) #

# = ((X-3) (2x ^ 2 + 3-5)) / (x-3) -30 / (x-3) #

# = (2x ^ 2 + 3-5) -30 / (x-3) #

# = (2x ^ 2-2x + 5x-5) -30 / (x-3) #

# = 2x (x-1) 5 (x-1) -30 / (x-3) #

# = (X-1), (2x + 5) -30 / (x-3) #