Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:

Answer: both our A
Step-by-step explanation:
Answer:
The expectation is 
Step-by-step explanation:
From the question we are told that
The first offer is 
The second offer is 
The third offer is 
The number of tickets is 
The price of each ticket is 
Generally expectation is mathematically represented as

given that they just offer one
Now
given that they just offer one
Now
given that they offer five
Hence the expectation is evaluated as


Now given that the price for a ticket is 
The actual expectation when price of ticket has been removed is


Answer:
x=12
Step-by-step explanation:
Simplify both sides by adding like terms
5/12x=x-7
subtract x from both sides
-7/12x=-7
multiply both sides by 12/-7
x=12