General Mathematics

Asymptote: A line that never touches a graph, it gets infinitely close, but never actually touches the graph

Euelers Identity:
ei*π + 1 = 0

Conjugate:
The sign in between the terms is swapped with the opposite
Ex.
3 + 2x = 3 – 2x
3i – 3 = 3i + 3

Leading Coefficient (1.c):
The value of the x with the highest power
Ex.
5x4 + x3 + 6x2 + 9x – 10
1.c = 5, because of the five in front of x4

Extraneous solution (Very important):
A solution that doesn’t work in the original equation even though you might have gotten it
Ex.
1x-4
x = 4
4 – 4 is 0, and you can’t divide by 0, so 4 is an extraneous solution aka one that doesn’t work

Cool rules of 0

00 = 1:

11 = 10.40.4 =0.693
0.90.9 =0.9090.30.3 =0.698
0.80.8 =0.8360.20.2 =0.724
0.70.7 =0.7790.10.1 =0.79
0.60.6 =0.7360.00010.0001 =0.99
0.50.5 =0.70700 =1
The further you go down the lower the number is and then after 0.4 it goes up again and as close you get to 0^0 it gets very close to 1, so you can basically say that it is going to become 1

0! = 1:

FacultyAnswer
0!1
1!1
2!2
3!6
4!24
5!120

All of the answers get divided by a certain number that counts down by one every time

120/24 = 5
24 / 6 = 4
6 / 2 = 3
2 / 1 = 2
1 / 1 = 1
They count down by 1 all the time so when it comes to 0, 1 divided by 1 is 1