Pre-Cal

Factoring

100

Factor out the equation
x²+4x+4

(x+2)²

200

Factor the equation
x²+18x+45

(x+3)(x+15)

300

Factor out the equation
x³+x²-15x-15

(x²-15)(x+1)

400

Factor the equation
x³-7x²+9x-63

(x²+9)(x-7)

500

Factor the equation
3x³-7x²+27x-63

(x²+9)(3x-7)

Solving Equation

100

Solve for x
2x+3=13

x=5

200

Solve for x
12x-5=91

x=8

300

Solve for h
25h=(1/2)(25)(10)²

h=50

400

Solve for v
4000=(1/2)(.5)(v²)

V=126.49

500

Solve for v
600=1/2(.10)v²

v=104.54

Attributes of Graph

100

Find all horizontal asymptotes
2x²-162/3x²-27x
 

Y=2/3

200

Find all Vertical asymptotes
x+2/2x-10

X=5

300

which value of X is the expression undefined
5x-5/x²-36

-6,6

400

Find the holes
x+3/x²-10x+21

(-3,1/4)

500

Find all Vertical asymptotes
x²-11x+10/2x-20

No vertical asymptotes

Exponent

100

Negative Exponents
-5x^-1

-5/x

200

Multiplying Powers
-6x⁴y³(14x²y⁸)

−84x⁶y¹¹

300

Dividing Powers
8x⁷y⁷/12xy⁴

2x⁶y³/3

400

Raising Powers to Powers
(5x²y²)³

125x⁶y⁶

500

Exponential Rules
-5p^-5/(3p²)⁵

-5/243p¹⁵

Radical

100

√81

9

200

√75

5√3

300

√32+√200

14√2

400

³√x⁴

x³√x

500

⁴√81x⁸y⁴

3x²y