Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).
Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10
Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30
The number of messages sent by Elsa, Ryan and Jim are 11 , 84 and 21 respectively.
<em><u>Explanation</u></em>
Suppose, the number of messages Jim sent is 
As Ryan sent 4 times as many messages as Jim, so the number of messages sent by Ryan 
Also, Elsa sent 10 fewer messages than Jim, so the number of messages sent by Elsa 
Given that, they sent a <u>total of 116</u> text messages. So the equation will be.......

So, the number of messages sent by each of them.....

x=(k-c)/6
6x+c=k
subtract c from both sides
6x=k-c
divide by 6 on both sides
x=(k-c)/6
Answer:
they all as a group will be doing 1/3 of the work. There are 4 robots.
how much will each individual robot be doing from the total work?
well, how many times does 4 go into 1/3?
Step-by-step explanation:
5 because 2/6 of 24 is 8 and the difference of thirteen and 8 is 5