# math eval 6

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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 –34i, z2 2 – i, z3 –4i, z4 –2410i

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

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4. z12

- –2+4i
- 24i
- 211i 33
- –2+i

5. z3 5

- 1024
- –1024i
- 1024i
- –1024

6. z1 3

- 1i 4
- 4i
- –4i
- 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

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Unit 6 Evaluation

MTHH 043

_____ 9.

_____ 10.

_____ 11.

Write the solution in the form a bi. 7

a. 7i b. 7i c. 0 7i d. 0 7i

Writethesolutionintheform abi. 43 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.

- x4 –4×39×2 –36x
- x3 –4×2 –3x12
- x3 – 4×2 3x – 12
- x4 –4×3 –9×236x

Find the roots of this function: fxx2 2x 2.

a. 1 2 and 1 2

b. –1+i and–1–i

c. 12i 2 and 12i 2 d. –1+2i and–1–2i

Solve this function in factored form: f xx2 2x 2 . a. (x+1–i)(x+1+i)

b. x1i 2x1i 2c. (x–1+i)(x–1–i)

d. x1i 2x1i 2

Find the roots of the function: gx 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: gx 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