Imaginary and Complex Numbers
Imaginary and Complex Numbers Name:
Review Packet
|1. Simplify [pic] |2. Given [pic], evaluate f(i). |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|3 Simplify [pic] |4 Simplify [pic] |
| | |
| | |
| | |
| | |
| | |
| | |
|5 Express in simplest [pic] form: [pic] |6 Simplify [pic] |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|7 What is [pic] subtracted from [pic]? |8 Simplify [pic]. |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|9 Simplify [pic] |10 Simplify [pic]. |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|11 Simplify: [pic] |12 Simplify: [pic] |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
|13 Find the roots of the function [pic] | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
14. Given the function [pic], find the largest integral value for B that would give the function imaginary roots.
15. Given the equation [pic], find all the values of c that would give the equation real, rational, and equal roots.
16. Describe the nature of the roots of the following:
a) [pic] b) [pic]
16 cont. Describe the nature of the roots of the following:
c) [pic] d) [pic]
17. Given the sum of the roots and the product of the roots, write a quadratic equation. Write each quadratic in the form [pic] where a, b, and c are integers.
a) sum = -8 product = 10
b) sum = [pic] product = [pic]
18. Write an equation whose roots are [pic] and whose coefficients are integers.
19. Write an equation whose roots are [pic].
20. Given that a quadratic equation has root [pic], find the other root and then find a possible equation.
21. Given that the quadratic equation [pic] has root -4, find the other root of the quadratic.
22. Draw and label each complex number as a vector on the Argand Plane given.
[pic]
[pic]
[pic]
[pic]
25. Evaluate [pic]
24. Display the following sums on the Argand Planes below and state the answers.
[pic] [pic]
How would you subtract these complex numbers graphically?
[pic]
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- imaginary and complex numbers
- summary for polynomial functions
- stability analysis for var systems
- honors accelerated precalc midterm exam review
- alg loudoun county public schools
- quadratic roots homework mr nickels
- polynomial functions and end behavior
- lakeshore high school
- exploration guide roots of a quadratic
- winston salem forsyth county schools front page
Related searches
- complex numbers khan academy
- complex numbers operations
- complex numbers calculator
- simplify complex numbers calculator
- adding complex numbers calculator
- multiplying complex numbers calculator
- complex numbers to polar form
- solve complex numbers calculator
- synthetic division complex numbers calculator
- power of complex numbers calculator
- complex numbers calculator with steps
- divide complex numbers calculator