Complex Numbers

Simplify the radicals

100

Simplify the following: √(-36)

6i

200

Simplify the following: √(-200)

10i√2

300

Simplify the following: √(-75)

5i√3

400

Simplify the following: √(-72)

6i√2

500

Simplify the following: √(-12)

Simplify the following: 2i√3

Adding & Subtracting Complex numbers

100

(3 +4i)+(5+5i)

8 + 9i

200

(2 -3i)+(6+7i)

8 + 4i

300

(-6 -i)+(2-3i)

-4 - 4i

400

(6 +7i)-(3+5i)

3+2i

500

(8 +i)-(-2-2i)

10+3i

Multiplying & Dividing Complex Numbers

100

(3 +4i)(5+5i)

-5 + 35i

200

(1 -3i)(2+4i)

14-2i

300

3i / 4-i

-(3/17) + (12/17) i

400

(2 +3i)(2-3i)

13

500

(2 +5i)^2

-21+20i

Preform the following operation

100

(4 +i)-(6+2i)

-2-i

200

(2 +2i)(4+i)

6+10i

300

(2 +7i)+(4+6i)

8 + 13i

400

(6 +2i)/(4+8i)

1/2 - 1/2 i

500

(3+5i)^2

-16+30i

Rational Functions

100

What Asymptote is found by the denominator?

Vertical Asymptote

200

What asymptote is found by the degrees of the polynomials?

Horizontal Aymptote

300

What is the horizontal asymptote of 

f(x)=(x^2+3)/(x^3-8)

y=0

400

What is the Vertical Asymptote of

f(x)=(x^2+3)/(x^3-8)

x=2

500

What are the zeros of the following function:

f(x)=(x²+2x-3)/(x²+5x-6)

x=-3,x=1