For the 1st member, you have 10 possible choices.
For the 2nd, you have 9 remaining choices.
For the 3rd: 8.
So all possible combinations would be:
10*9*8*7*6 = 10! - 5! = 30,240 combinations.
Slope: (y2-y1)/(x2-x1)
Points given: (-4,1) and (1,-2)
(-2-1)/(1+4) = -3/5
Answer: the slope is -3/5
For this case we have that by definition, the point-slope equation of a line is given by:

Where:
m: It's the slope
It is a point through which the line passes
According to the statement data we have:

Substituting we have:

By law of signs of multiplication we have to:

Answer:
The requested equation is: 
Yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)
the factored form is
(2z^2)(z-1)(z-4)