How do you factor #6m^3+15m² - 2m - 5#?

1 Answer
Jul 31, 2016

Answer:

#(2m+5)(3m^2-1)#

Explanation:

Group the terms into 'pairs' as shown.

#[6m^3+15m^2]+[-2m-5]#

now factorise each 'pair'

#rArrcolor(red)(3m^2)(2m+5)color(red)(-1)(2m+5)#

there is now a common factor of (2m + 5) which can be taken out.

#(2m+5)color(red)((3m^2-1))#

#rArr6m^3+15m^2-2m-5=(2m+5)(3m^2-1)#