What are the factors for #6w^3 + 30w^2 -18w - 90 = 0#?

1 Answer
May 9, 2015

#6w^3+30w^2 - 18w-90 = 0#

Grouping
#color(red)((6w^3+30w^2)) - color(blue)((18w+90)) = 0#

#color(red)((6w^2)(w+5)) - color(blue)((18)(w+5))#

#(6x^2-18)(w+5)#

Final check for other obvious common factors:
#6(x^2-3)(w+5)#

#(x^2-3)# could be factored as #(x+sqrt(3))(x-sqrt(3))# but it is not obvious that this would be any clearer.