Operations
Exponent Rules
Polynomials
Rational functions key features
100

Solve for x: 

2x-1=11

x=6

100

Simplify: 

x^5*x^12

x^17

100

Add: 

-4x^2+ 8x^2

4x^2

100

What is the horizontal asymptote (H.A)?

H.A : y = 2

200

solve for x: 

1/2x=20

x=40

200

Simplify:

(3x^5)*(5x^8)

15x^13

200

Add the expressions:

(5x^2+2x+1) + (3x^2-5x-9)

8x^2-3x-8

200

What is the vertical asymptote (V.A)?

VA: x=1

300

5x-3=30

x=33/5

300

x^9/x^2

x^7

300

Multiply:

(x-5)(x+6)

x^2+x-30

300

Where is the hole located?

Hole is located at (-1,3)

400

x= 9

400

(x^4)^3

x^12

400

Rewrite in standard form:

-3+5x+8x^3-9x^4

-9x^4+8x^3+5x-3

400
What is the x-value of a y-intercept point?

The x-value of ANY y-intercept point is always zero.

500

What is the inverse operation of 

(x)^2

The inverse operation is taking the square root. 

sqrt

500

x^-3

1/x^3

500

If a polynomial has a degree of 4, how many factors will it have?

The polynomial will have 4 factors.

500

If the horizontal asymptote is y= 5, what is the end behavior?