Horizontal Asympotes
Vertical Asymptotes
Rewriting equations
Zeros
Division
100

Find the horizontal asymptote: 

2x-4/x+5

y=2

100

Find the vertical asymptote: 

3x2+22x-80/2x+8

x=-4

100

Simplify this rational equation: 

x-1/x-1

Simplified: 1

100

Identify the zeros for the equation: f(x)=(x-2)(x+15)

x=2 and -15

100

Divide x3-8x2-10x+20 / x+2

x2-10x+10

200

Find the horizontal asymptote:

2x+2/x2-x-2

y=0

200

Find the vertical asymptote: 

x+9/x+10

x=-10

200

Simplify this rational equation: 

3x+2/x+4

(x+2/x+4)+3

200

Identify the zeros for the equation: f(x)=(2x+6)(3x-9)

x=-3 and 3

200

What does DMSB stand for?

Divide, Multiply, Subtract, Bring Down

300

Find the horizontal asymptote: 

x2+6x-3/5

No asymptote

300

Find the vertical asymptote: 


10x+4/x2-64

x=-8 or 8

300

Simplify this equation: 

2x-1/2x2

2x(-1/x)

300

What happens on the graph at an equations "zeros"? 

The function touches the x-axis

300

What is the inverse (opposite) of polynomial DIVISION?

Multiplication

400
Find the horizontal asymptote:

6x2+21x-12/4x2-2x

y=3/2

400

Find the vertical asymptote: 

3x+2/5

No vertical asymptote

400

Simplify the rational equation:

2x-6/3x+5

(x-6/x+5)+2/3

400

Identify the zeros of the equation f(x)=x2+8x+15

x=-3 and -5

400

Divide 3x3-6x2-17x-28 / x-4

3x2+6x+7

500

Find the horizontal asymptote:

x-1/(2x-3)(x-1)

y=0

500

Find the vertical asymptote: 

4x2-1/2x2-x

x=0

500
Simplify the equation:

2x2+5x/2x+5

x(2x+5)
500

Identify the zeros for the equation: 

3x+5/2 = 10x-5/10

x=-6

500

Divide 4x3-26x2+30x+25 / 2x-5

2x2-8x-5

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