Help with algebra!! Will give medal!!!!

Question

anonymous · Answer

2.	Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x).
•	g(x) = x3 – x2 – 4x + 4
•	g(x) = x3 + 2x2 – 9x – 18
•	g(x) = x3 – 3x2 – 4x + 12
•	g(x) = x3 + 2x2 – 25x – 50
•	g(x) = 2x3 + 14x2 – 2x – 14

anonymous · Answer

@butterflydreamer why do you keep coming here and leaving???

butterflydreamer · Answer

LOOOOL because i want to help xD BUT i'm not that great at this -.-

anonymous · Answer

Haha its fine, I was just like "the heck is she doing leaving and coming?" Well do you have anyone you know who can help me?

butterflydreamer · Answer

sorrry xD I'm pretty sure the qualified helpers can help :) 
Firstly you should choose one of the g(x) functions to use

butterflydreamer · Answer

for the first part, when you want to find the 0's, you set g(x) = 0... then factorise and solve for x.
So e.g. if you use the first one: g(x) = x^3 - x^2 - 4x + 4
$$g(x) = x^3 - x^2 -4x + 4 \rightarrow x^3 - x^2 - 4x + 4 = 0 $$

butterflydreamer · Answer

you can factorise that to get:
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