Simplifying Radicals
Horizontal Asymptotes
Vertical Asymptotes
Oblique Asymptotes
Combining Polynomials
100

what is √ 36 simplified?

what is 6 

100

what is the horizontal asymptotes of 

(3x) / (2x - 4)

what is y = 3/2

100

what is the vertical asymptotes of 

(3) / (x - 4)

what is x = 4

100

What condition must be true for a rational function to have an oblique asymptote?

The degree of the numerator is exactly 1 greater than the degree of the denominator.

100

(3x2+5)+(2x2−4) = ?

5x2 + 1

200

what is √ 75 simplified? 

what is 5 √ 3

200

what is the horizontal asymptotes of 

(2) / (x2 - 4)

what is x = 0

200

what is the vertical asymptotes of 

(2x+1) / (x2 - 4)

what is x = 2 and x = -2

200

what is the function of the oblique asymptotes of:

(x2+3x+2) / x

what is y = x+ 2

200

Simplify: (4x2+3x−2) − (2x2−x+5)

2x2 + 4x - 7

300

what is  √ 50 +  √ 8

what is 7 √ 2

300

what is the horizontal asymptotes of 

(x2) / (4x +7)

Trick Question: There is no horizontal asymptote, there is an oblique asymptote.

300

what is the vertical asymptotes of 

(x) / (x2 + 6x - 16)

what is x = 2 and x = 8

300

what is the function of the oblique asymptotes of:

(x3+2x) / (x2-1)

what is y = x

300

(x+2)(x−3) = ?

x2 - 5x - 6

400

what is the  √ 72 +  √ 8

what is 8 √ 2

400

what is the horizontal asymptotes of 

(x4) / (10x4 +5x2 - 8)

what is y = 1/10

400

what is the vertical asymptotes of 

(9x-40) / (x2 + 9)

Trick Question: there is no vertical asymptote. This function is continuous and the denominator is never equal to 0.

400

what is the function of the oblique asymptotes of:

(2x2 - 5x + 3) / (x - 2)

what is y = 2x - 1

400

(6x2−5x+1) ÷ (2x−1) = ?

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

500

what is 3 √ 27 - 2 √ 12 ?

what is 5 √ 3

500

what is the horizontal asymptotes of 

(4x3 + 9) / (2x3 + 9)

what is y = 2

500

what is the vertical asymptotes of 

(x2 +3x - 45) / x

what is x = 0

500

what is the function of the oblique asymptotes of:

(3x+ 4x + 1) / (x + 3)

what is y = 3x - 5

500

(x2 - x + 4)(2x+3) = ?

2x3 + x2 + 2x + 12

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