Agenda
I Bell Ringer
II Finding and Manipulating Complex Conjugates
III Factoring of Quadratic Functions


Objective: Students will find and manipulate complex conjugates

Big Picture: Mathematics will find a solution to the unsolvable. Even if they have to make it up.


Bell Ringer

Using the quadratic formula
- Find the zeros in:
10x^2-5x+20
2x^2+4x+15

answers:
1+- square root of 31i /4
-4+-2 square root of 26i / 4


ex 1- add
4 + 2i
+ ( 7 - 3i )
------------
11 - 1i

ex 2- subtract
7 + 8i
- ( 8 + 2i )
-----------
-1 + 6i

ex 3- multiply
( 7 + 8i ) ( 7 - 8i )
49 - 56i + 56i - 64 (i^2)
49 + 64 = 113


ex 4- divide
3 + 4i (2 + 5i)
____ _____
2 - 5i (2 + 5i)

*do the distributive property or f.o.i.l.
-14 + 23
______
29

Homework- page 28 #'s 1-10