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

2 Answers
May 8, 2018

Answer:

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

Explanation:

#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]

May 8, 2018

Answer:

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

Explanation:

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)#