General Mathematics

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

Euelers Identity:
e^i*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.
¹⁄_x-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 =	1	0.4^0.4 =	0.693
0.9^0.9 =	0.909	0.3^0.3 =	0.698
0.8^0.8 =	0.836	0.2^0.2 =	0.724
0.7^0.7 =	0.779	0.1^0.1 =	0.79
0.6^0.6 =	0.736	0.0001^0.0001 =	0.99
0.5^0.5 =	0.707	0⁰ =	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:

Faculty	Answer
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