Chapter 20 Review

Chapter 20 Review

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

All answers must be written as a + bi.

Example:

2i + 3i²

2i + 3(-1)

2i - 3

or

-3 + 2i

 $\sqrt{-16}+2\sqrt{-100}$  

4i + 2(10i)

4i + 20i

24 i

 $2\sqrt{-2}\cdot\sqrt{-72}$  

 $2\sqrt{144}$ 

2(12)

24 

(3 - 8i) + (4 + 6i)

3 - 8i + 4 + 6i

7 - 2i

(6 - 3i) - (12 - 8i)

6 - 3i - 12 + 8i

-6 + 5i

(3 + 4i)(2 - 5i)

 $6-15i+8i-20i^2$  

6 - 15i + 8i - 20(-1)

6 - 15i + 8i + 20

26 - 7i

(2 - 4i)²

(2 - 4i)(2 - 4i)

4 - 8i - 8i + 16i²

4 - 8i - 8i + 16(-1)

4 - 8i - 8i - 16

-12 - 16i

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

6i - 2i² - 2i - 8

6i - 2(-1) - 2i - 8

6i + 2 - 2i - 8

4i - 6

4i³ - 3i²

4(-i) - 3(-1)

-4i + 3

3 - 4i

(2i²)(3i³)

6i⁵

6i

*Remember that i⁵ = i.

Writing a quadratic equation given roots.

Example: 2, -4

(x - 2)(x + 4) = 0

x² + 4x - 2x - 8 = 0

x² + 2x - 8 = 0

Write a quadratic equation given roots: -3, 5

Write a quadratic equation given roots: -3, 5

(x + 3)(x - 5) = 0

x² - 5x + 3x - 15 = 0

x² - 2x - 15 = 0

Write a quadratic equation with roots: 3i and -2i

Write a quadratic equation with roots: 3i and -2i

(x - 3i)(x + 2i) = 0

x² + 2ix - 3ix - 6i² = 0

x² + 2ix - 3ix - 6(-1) = 0

x² - ix + 6 = 0