Question

What is thefactored form of the expression? 15g^3 + 18g^2 - 10g - 12

Answer 1

In order to factorise this, be wary of the FACTORS. The solution should have two dinomals. To solve this, you need to solve one half, then the other, then add them together. 
Sorry, but I wont show you how I got to the dinomals, because that's kinda how "I" work it out. You should ask your teacher, for their way of solution. Regardless, this is what I got.
(3g² - 2)(5g + 6) 

Answer 2

15g^3 + 18g^2 - 10g - 12
(5g+6)(3g^2-2)
-12 + g (-10 + g (18 + 15 g))
-6/5
√2/3

Hope this helps!