Question: XPD127 Mathematics 1A 1. (a) The complex number z = 1 - 2 is a root of the polynomial p( z) = 23 + mz

XPD127 Mathematics 1A 1. (a) The complex number z = 1 - 2 is a root of the polynomial p( z) = 23 + mz - b. where b and m are real numbers. Determine the linear factors of p(z) and the [6 marks] values of b and m. (b) Let z = -3V3+3i. Determine z, |z |, z and In(z). [5 marks] (c) Show that (1 + i)n - (1 - 2)2 = 22+1. isin (") ) for all n E Z. [4 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Tableau and Power BI Project: Data Visualization to Aid Decision - Making Adapted from Hoelscher and Mortimer ( 2 0 1 8 ) ( 2 0 1 8 ) Introduction to data analytics In this case study, you will gain...

23 i47 1. Consider the complex number z = . (1 + i)3 (a) Show that z can be expressed in the Cartesian form 2 2i. (b) Write z in polar form using the principal argument. z6 in polar form using the...

Clier URC Inde C Fine V Oop Cou * Uplc 1 15 B ha.ca th-122-c01-c02 / assignment10 / 18 Previous Problem Problem List Next Problem Assignment10: Problem 18 (1 point) Write the complex number z = -4 +...

(4.1) Determine the complex numbers /2666 and /145 (2) (4.2) Let Zi = . _147: Z2 = +4, and Z3 = 10 2(/ -1)/ + (-i + v3)3 + (1 -1)(1 -i) (6) Z2 Z3Z2 Express 2121 2122, and -2 in both polar and...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

Analyze your results for Business Solutions by answering the specific questions on the provided memo form in Canvas. The following questions should be answered in your analysis, your writing must be...

What is the reinvestment rate assumption, and how does it affect the NPV versus IRR conflict?

A limited liability company ( LLC ) provides limited liability to all of its owners and permits all of its owners to participate in management. Question 1 5 options: TrueFalse

What is the effect of multi-tasking and resource overloading in an environment with no or unclear project priorities?

Discuss the strategic implications of Knowledge Management in managing projects?

Please help it's urgent thank you. please write 400-450 words. thank you QUESTION 4 (20 MARKS) The success of any project is dependent on a diverse range of skills, abilities and competencies of the...

3. Give an example of a problem or phenomenon in everyday life where information is presented in an emotional way.

6. How can a message directly influence the interpreter?

1. Discuss the following statements: (a) The dangers of mountain driving in an old Lada 4 4, and safety concerns. (b) We perceive the world backwards. (c) Numbers are different from words, but they...