מה המנה של (2x ^ 3-3x ^ 2-14x-15) / (x-3)?

תשובה:

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

הסבר:

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

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

# (X-3) (x-3) + 3x (x-3) -5 (x-3) -30) / x-3 #

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

# = (2x ^ 2 + 3x-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) # #