# ETEC 415 – Control Systems – HW 2

ETEC 415 – Control Systems – HW 2

## Module 2 Homework Assignment

Part I: Complex Numbers

Reduce the following 3 problems to the form A+Bi. Show your work using an equation editor.

Part II: Polynomials
Use MATLAB to solve the following problems.

1. Multiply the two polynomials together
(5𝑥2−2𝑥+2)(𝑥5+𝑥3−1)
Write down the MATLAB command used to solve this problem. Write the resulting polynomial using an equation editor.
2. Find the roots of the following expression and then write out the factored form.
𝑥3−𝑥2−22𝑥+40
Write down the MATLAB commands used to solve this problem. Write the factored form using an equation editor. If there are complex roots, write the pair as a quadratic equation.
3. Find the roots of the following expression and then write out the factored form.
𝑥4−9𝑥3+21𝑥2+21𝑥−130
Write down the MATLAB commands used to solve this problem. Write the factored form using an equation editor. If there are complex roots, write the pair as a quadratic equation.