# math eval 6

This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus, and other course materials. You will need to understand, analyze, and apply the information you have learned in order to answer the questions correctly. To submit the evaluation by mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online, access the online version of your course; use the navigation panel to access the prep page for this evaluation and follow the directions provided. You may use your calculator on this unit evaluation.

Select the response that best completes the statement or answers the question.

Use the following information to answer questions 1–8:
Let z1 –34i, z2 2 – i, z3  –4i, z4  –2410i

z1  z2 

a. –1+5i b. –5+3i c. –1+3i d. –5+5i

_____ 2. z3 –z2

a. 2–5i b. –2–3i c. –2–5i d. 2–3i

_____ 3. z4 ·z2

a. –58–4i b. –28+10i c. –38+44i d. –48–10i

_____ 1. Unit 6 Evaluation

MTHH 043

_____

4. z12 1. –2+4i
2. 24i
3. 211i 33
4. –2+i

5. z3 5 

1. 1024
2. –1024i
3. 1024i
4. –1024

6. z1 3

1. 1i 4
2. 4i
3. –4i
4. 1i 4

7. z4 

a. –24–10i b. 24–10i c. 24+10i d. –24+10i

8. z1 

a. –1 b. 1 c. –5 d. 5  55  _____

_____    _____

_____   Unit 6 Evaluation

MTHH 043 _____ 9.

_____ 10.

_____ 11.

Write the solution in the form a  bi. 7 

a. 7i b. 7i c. 0 7i d. 0 7i

Writethesolutionintheform abi. 43 9

a. 6+6i b. –6+6i c. 6–6i d. –6–6i

Find a polynomial function with real coefficients that has these numbers as roots: 4, 0, 3i.

1. x4 –4×39×2 –36x
2. x3 –4×2 –3x12
3. x3 – 4×2  3x – 12
4. x4 –4×3 –9×236x

Find the roots of this function: fxx2  2x  2.

a. 1 2 and 1 2
b. –1+i and–1–i
c. 12i 2 and 12i 2 d. –1+2i and–1–2i

Solve this function in factored form: f xx2  2x  2 . a. (x+1–i)(x+1+i)

b. x1i 2x1i 2c. (x–1+i)(x–1–i)

d. x1i 2x1i 2
Find the roots of the function: gx  x3  16x .

a. 0, 4i, –4i b. 0, –4, –4i c. 0, 4, 4i
d. 0,4,–4      _____ 12.

_____ 13.

_____ 14.         Unit 6 Evaluation

MTHH 043

_____ 15.

_____ 16.

Solve this function in factored form: gx  x3  16x .

a. x(x+4)(x–4) b. x(x+4i)(x–4i) c. x(x+4)(x+4i) d. x(x–4)(x–4i)

Find the first term of this sequence: an  1n . 3

a. 31b. 1