f (x) = x ^ 4-x ^ 3 + x ^ 2-x
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer: 2 x intercepts appear on the graph of this polynomial function
You can just substitute the m in the first equation
like this ; 2(10 - 2n) - 7n = -18.5
Answer:
4 is answer of the problem
The x-intercept is when y = 0
while
The y-intercept is when x = 0
So, to find the x-intercepts, set y to 0:
3x - 5(0) = 15
3x = 15
Divide both sides by 3:
x = 5
x-intercept is (5, 0)
Now, for the y-intercept:
3(0) - 5y = 15
-5y = 15
Divide both sides by -5:
y = -3
y-intercept is (0, -3)
Therefore, the x-intercept is (5, 0), and the y-intercept is (0, -3).
Now, lets find the slope using these 2 points on the graph and the rate of change formula, which is:

Plug in the intercepts (the order of y's and x's doesn't really matter as long as they're consistent):
= 
Therefore, the slope is
, or rise 3, run 5.
Now, lets graph:
<em>( hope this helps! :) )</em>