Even Degree + Positive Leading Coeff
Both Positive Infinity
Even Degree + Negative Leading Coeff
Both Negative Infinity
Odd Degree + Positive Leading Coeff
+ with +
- with -
Odd Degree + Negative Leading Coeff
+ with -
- with +
i*2=
-1
In Synthetic Division
you are adding
< >
o- open
(parentheses )
≥ ≤
Nume + deno are equal and cancel out
Set x=0
Set Numerator =0
(Simplified Function)
Input x=0 and solve
(Original Function)
Set Denominator = 0
(Simplified Function)
Compare Degrees of Num/Denom
(Original Function)
HA Rule: Less/ More
y=0
HA Rule: Equal/Equal
Divide Coeff of Degree
HA Rule: More/Less
N/A
Logn (xy) =
Logn ^x + Logn ^y
Log (x/y)=
Logb^x - logb^y
Logb^x^n =
Nlogb^x
Lne =
1
P/Q
+ and -
x^2=-y
+- i
x^2=y
+-
Interva Notation
Always plug back and rationalize