(btw if i write 4x^3 it means 4x to the power of 3)
1) (2x+3)(x-2)
2x^2 -4x + 3x -6
2x^2 -x -6
2) x^2 +10x +24
(x+12)(x-2)
3) 6x^2 -13x +6
(2x )(3x ) not sure on this one
4) x^2 +8x +15
(x+3)(x+5)
x= -3 x=-5
5) x^2 -4x -45
(x+5) (x-9)
x=-5 x=9
hope this helps, if you need any help understanding what happens just ask