Question

You are having a meeting with the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit as the function P(x) = x4 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).

Answer 1

U don't know this one I am sorry

Answer 2

*I

Answer 3

ok

Answer 4

Attempt to factor the function using synthetic division. Looking at the numerical term (18) use some of the prime factors 3 and 2 and also try 1.

Answer 5

So ok Im a little confused

Answer 6

nvm I get it hold on

Answer 7

so it wouldn't be 1 because you don't get a remainder of 0

Answer 8

@radar ?

Answer 9

Ok I'm honestly confused.

Answer 10

@mathmate

Answer 11

@jane11509 @just_one_last_goodbye

Answer 12

I used long division as you are confused and probably don't understand synthetic division. As you can see one of the zero crossings would be x = -1. Now factor the x3-2x2-9x+18 using the numbers I have given you that are the prime factors of 18. Hint try 3.