f(x) = x³ - 2x² - 24x
x³ - 2x² - 24x = 0
x(x² - 2x - 24) = 0
x = 0
x² - 2x - 24 = 0
a = 1, b = -2, c = -24
Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100
x = (-(-2) - 10)/(2 * 1) = -8/2 = -4
x = (-(-2) + 10)/(2 * 1) = 12/2 = 6
Answer: 2)
So the easiest way to do this problem is to put your equation in linear form, meaning y = the rest of the equation.
I'm going to show the work to do that below:
2x - y = 4
-2x -2x (Here I am subtracting 2x)
- y = 4 - 2x
(-1)(- y) = (-1)(4 - 2x) (Now I'm multiplying both sides by -1 to make y positive)
y = 2x - 4 (And just for neat purposes I'm going to put the 2x in front of the 4)
Now you have your equation ( y=2x-4 ) and you're ready to put it on the points of your graph.
Start on the point (0, -4) to represent the y axis.
y = 2x - 4
Then, your rise (2) over your run (1)
so your coordinates for a line will be:
(0, -4) (-2, 1) (1, 0)
You only need to plot these three to connect your line.
I appologize for my lack of visuals i understand this might be confusing, however if you have any further questions feel free to let me know!
