How do you factor the expression #6x^2 - 27x - 15#?

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Answer 1 · 2018-05-08T11:32:03

# 3 (x-5) (2 x+1 ) #

#6 x^2 -27 x -15 = 6 x^2 -30 x +3 x -15 #

#=6 x (x -5) +3 ( x -5) = (x-5) (6 x+3) #

# 3 (x-5) (2 x+1 ) # [Ans]

Answer 2 · 2018-05-08T11:40:41

#(3x-15)(2x+1)#

First, we need to find which two numbers multiply with each other to give -90 (#-15xx6)#and when added together it gives #-27#.

So lets find the multiples of -90:
#-2xx45#
#-6xx15#
#-30x3#-----> this when multiplied gives #-90# and adding gives us #-27#.

#6x^2-27x-15#
#6x^2+3x-30x-15#
#3x(2x+1) -15(2x+1)#
#(3x-15)(2x+1)#