@abdiwarrior
Ok so i actually havent seen much trinomials before so i found myself a challenge...for 20 mins.
I wont answer all your questions , instead i will teach you the process.
First of all lets do 5
2x^2+xy-y^2+3x-3y-2
Ok this is difficult!
lets get it to the form of ax^2 + bx + c : c,a,b are constant with respect to x
2x^2+(3+y)x-(y^2+3y+2)
note this is the form above, just looks a bit different.Now we want to factorise all portions:
=> 2x^2+(3+y)x-((y+2)(y+1))
you can verify this through expanding
Now that 2x^2 makes this tricky so instead of working through the maths , just try trial and error.
The solution will always be of the form:
(mx +/- (y+2))(gx +/- (y+1)) : g,m are random constants.
Then we get :
(2x-(y+2))(x+(y+1))
*note the 2 comes from the x^2 and the minus due to the constant(even though there are y's, y is a constant if x is our main variable)
try the others
