## 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.

P**art II: PolynomialsUse MATLAB to solve the following problems.**

- 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. - 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. - 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.