REQUIRED PROBLEMS TO IMPROVE QUIZ GRADE FROM YOUR TEST
In order to improve your grade on a Unit 4 Quiz, you must correct the original quiz and do the following. The corrected
quiz as well as the additional problems must be turned in at the beginning of class on test day.
Quiz 1: Complex Numbers
1.
(3 - 2i) + (14 – 5i)
2.
(-5 + 6i) – (13 – 2i)
3.
(3 – 5i)2
4.
(12 + 4i)(7 – 5i)
𝟓+𝟑𝒊
5.
5.
𝟕−𝟐𝒊
6. 𝒊𝟏𝟎𝟓
7. 𝒊−𝟏𝟓
𝟒−𝟓𝒊
𝟗+𝟕𝒊
8. 𝒊𝟕𝟐
9. 𝒊−𝟑𝟑
10 𝒊−𝟒𝟒
Quiz 2: Quadratics
Sketch the graph of 𝑓(𝑥) = −𝑥 2 + 2𝑥 + 8. Identify the vertex, axis of symmetry, x-intercepts and y-intercepts.
Write the function in vertex form by completing the square. Then sketch the graph. Identify the vertex, axis of
symmetry, x-intercepts and y-intercepts.
1. 𝑓(𝑥) = 4𝑥 2 − 4𝑥 + 21
2. 𝑓(𝑥) = −2𝑥 2 + 4𝑥 + 1
Find two positive real numbers whose product is a maximum. You must provide the quadratic function and show all
work.
1. The sum of the first and three times the second is 42.
2. The sum of the first and twice the second is 32.
Quiz 3: Sketching Higher Degree Polynomials
1. 𝑓(𝑥) = 𝑥 3 + 𝑥 2 − 6𝑥
4. 𝑓(𝑥) = 10𝑥 4 − 13𝑥 3 − 6𝑥 2
Quiz 4:
1.
2. 𝑓(𝑥) = 𝑥 3 − 4𝑥
3. 𝑓(𝑥) = 𝑥 3 − 2𝑥 2 − 4𝑥 + 8
5. 𝑓(𝑥) = −𝑥 3 + 8𝑥 2 − 16𝑥