How do you factor #4c^3-2c^2-6c#?
1 Answer
Aug 30, 2016
Explanation:
Note that all of the terms are divisible by
We can then factor the remaining quadratic by completing the square and using the difference of squares identity:
#a^2-b^2 = (a-b)(a+b)#
with
#4c^3-2c^2-6c#
#=c(4c^2-2c-6)#
#=c((2c-1/2)^2-1/4-6)#
#=c((2c-1/2)^2-25/4)#
#=c((2c-1/2)^2-(5/2)^2)#
#=c((2c-1/2)-5/2)((2c-1/2)+5/2)#
#=c(2c-3)(2c+2)#