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## Math 106-06

by: Rebecca Favorit

79

0

4

# Math 106-06 106-06

Rebecca Favorit
WSU
GPA 2.944
College Algebra
mindy morgan

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The notes are from March 2nd- March 6th. These notes cover 2.3 and 2.4 sections. This information might help for the next upcoming exam. Hope this helps you guys out.
COURSE
College Algebra
PROF.
mindy morgan
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Math

This 4 page Class Notes was uploaded by Rebecca Favorit on Friday March 6, 2015. The Class Notes belongs to 106-06 at Washington State University taught by mindy morgan in Spring2015. Since its upload, it has received 79 views. For similar materials see College Algebra in Math at Washington State University.

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Date Created: 03/06/15
Math 10606 Notes for March 2nd 4th and 6th March 2 2015 Announcements aAssessment 2 on Wednesday 34 bEampN 24 due Friday 36 c Exam 2 Wednesday 311 from 6715pm a Abelson 201 dReview Session a Tuesday 310 from 68pm Abelson 201 Section 23 Complex Numbers Complex Number 0 Zabi o A is the quotreal part 0 B without the i is the quotimaginary part 0 I is the imaginary number 0 square root of 1 Complex Plane 0 Horizontal axis real axis 0 Vertical axis imaginary axis 0 Abi9ab Modulus 0 Measures the size of z o It is the distance between the origin and the plotted complex number Mulptiplying HI 0 When FOLing a problem if there is a value that has an to the 2Incl power you would substitute a 1 into the problem 0 Note when there are radicals you always want to have the radical at the end of your final answer I Example 0 6i2 Square Root Symbol March 4 2015 Section 24 Complex Roots of Polynomials Fundamental Theorem of Algebra 0 Complex roots are in the form zabi o Pureimaginary number 0 ZObi Which would equal bi March 6 2015 Announcements Hw 15 due Thursday 31212 o It has material that will be covered on Exam 2 so try to work through it before the exam Section 24 Continued Theorem 0 If fx is a polynomial function and if zabi is a root of fx then wabi is also a root 0 So abi and abi are complex conjegates Theorem 2 o Nth degree polynomials will have exactly n complex roots counting multiplicities Theorem 3 o Nth degree polynomials can be written in root form as a product of n linear factors Irreducible Quadratics o It is in the form fx axquot2bxc with no rational roots 0 Example 25xquot220x13 I It is an irreducible quadratic because you cannot reduce the factors Theorem 4 o Nquotn degree polynomials can be written as the product of linear and irreducible quadratic factors 0 You can use any of the techniques to solve any of the problems and simplify them more until they cannot be simplified anymore

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