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Unit 3B Review

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Last updated almost 3 years ago
48 questions
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Question 26
26.

Write 3x3 - 81 in factored form.

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Question 32
32.

Write an equation in factored form with the solutions

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Question 1
1.

Add: (7 - 2i) + (-5 + 11i). Write your answer in the form a + bi or a - bi.

Question 2
2.

Subtract: (7 - 2i) - (-5 + 11i). Write your answer in the form a + bi or a - bi.

Question 3
3.

Subtract: (8 + i) - (7 - 2i). Write your answer in the form a + bi or a - bi.

Question 4
4.

Multiply: (7 - 2i)(-5 + 11i). Write your answer in the form a + bi or a - bi.

Question 5
5.

Multiply: (7 - 2i)(8 + i). Write your answer in the form a + bi or a - bi.

Question 6
6.

Multiply: (-5 + 11i)(-5 - 11i). Write your answer in the form a + bi or a - bi.

Question 7
7.

Evaluate: 5i14

Question 8
8.

Evaluate: i73

Question 9
9.

Evaluate: (-2i)11

Question 10
10.

What is one solution to the equation 7x2 + 63 = 0?

Question 11
11.

What is the other solution to the equation 7x2 + 63 = 0?

Question 12
12.

What are solutions to the equation x2 +14x + 65 = 0? (Use +/- notation.)

Question 13
13.

What is x4 - 27x2 + 50 in factored form? (Remember to factor completely.)

Question 14
14.

What is one solution to the equation x4 - 27x2 + 50 = 0?

Question 15
15.

What is another solution to the equation x4 - 27x2 + 50 = 0?

Question 16
16.

What is a third solution to the equation x4 - 27x2 + 50 = 0?

Question 17
17.

What is the fourth solution to the equation x4 - 27x2 + 50 = 0?

Question 18
18.

What is one factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

Question 19
19.

What is another factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

Question 20
20.

What is the third factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

Question 21
21.

What is one solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

Question 22
22.

What is another solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

Question 23
23.

What is a third solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

Question 24
24.

What is the last solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

Question 25
25.

Select ALL of the factors below that are factors of x4 - x3 - 19x2 - 11x + 30.

Question 27
27.

What is the real solution to the equation 3x3 - 81 = 0?

Question 28
28.

What are the imaginary solutions to the equation 3x3 - 81 = 0? (Use +/- notation.)

Question 29
29.

Write an equation in standard form with the solutions -9 and 2.

Question 30
30.

Write an equation in standard form with the solutions

Question 31
31.

Write an equation in factored form with the solutions 0, -1, and 4.

Question 33
33.

Match each expression with the graph that could match it based on its end behavior:

Draggable itemarrow_right_altCorresponding Item
5x5 + x4 - 12x3 + 9x
arrow_right_alt
graph iii
6x4 - 19x2 + 3x + 2
arrow_right_alt
graph iv
-2x4 - x3 + 13x + 1
arrow_right_alt
graph i
-2x3 + 7x2 + 2x - 4
arrow_right_alt
graph ii
Question 34
34.

Fill in the blank:

Question 35
35.

Fill in the blank:

Question 36
36.

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

Question 37
37.

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

Question 38
38.

Write the function in factored form.

Question 39
39.

Fill in the blank:

Question 40
40.

Fill in the blank:

Question 41
41.

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

Question 42
42.

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

Question 43
43.

Write the function in factored form.

Question 44
44.

Fill in the blank:

Question 45
45.

Fill in the blank:

Question 46
46.

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

Question 47
47.

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

Question 48
48.

Write the function in factored form.