What are the fourth roots of unity in rectangular and polar form? solve this problem by creating and solving a
polynomial equation. show work to support your answer.

Step-by-step explanation:

The polynomial equation that leads to the fourth roots of unity is the following:

This equation has as solutions the actual roots of the polynom , whose roots are, in fact, the routh roots of unity (unity here is the zero-degree term of the polynom).

In rectangular form, the four solutions (roots) are:

Notice that all of them satisfy the equation .

In polar form ():

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches