Multiple Questions — Evaluating the graph of this polynomial

[Marso]

Homework Statement

So essentially I have a math test tomorrow and I was out sick for the past week and now I am unable to really understand what is going on in the attached screenshots. I am attempting the first one yet I keep getting the incorrect answer. Any assistance to any of the questions would be much appreciated!

Relevant Equations

N/A

 

[Office_Shredder]

What have you tried so far that gives you the wrong answer?

 

[Marso]

What have you tried so far that gives you the wrong answer?

For the graph one I genuinely have no idea. I actually was able to solve the one with the form and factor however I remain stuck on the proportion of population and graph problems.

 

[Office_Shredder]

You said you kept trying the first one and getting the wrong answer. What wrong answer did you get? How did you get it?

If you haven't been able to make any progress, maybe let's just start with the first part then. What does the word "root" mean there?

 

[Marso]

You said you kept trying the first one and getting the wrong answer. What wrong answer did you get? How did you get it?

If you haven't been able to make any progress, maybe let's just start with the first part then. What does the word "root" mean there?

Would the root be where the function is equal to zero?

 

[Office_Shredder]

So how do you find where the function is equal to zero on the graph?

 

[Marso]

It would be 2,5. Sorry I just realized how slow my brain is functioning right now.

 

[Office_Shredder]

How do you do the next part then?

 

[Marso]

How do you do the next part then?

Alright I was able to get (II) but I don’t know how to get (iii)

 

[Office_Shredder]

The answer to ii is used to get iii, so why don't you tell us what you got?

 

[Marso]

The answer to ii is used to get iii, so why don't you tell us what you got?

I got f(x)=p(x-2)(x-5)^2

 

[Office_Shredder]

So can you expand that to figure out what a, b, c and d are? The only thing you need to do is figure out what p is. There's one point on the graph you haven't used yet that you can use to figure out p.

 

[Marso]

So can you expand that to figure out what a, b, c and d are? The only thing you need to do is figure out what p is. There's one point on the graph you haven't used yet that you can use to figure out p.

Would that be (3,8)? Sorry but could you explain how I can figure out p and expand? I’m sorry I am just pretty confused.

 

[Office_Shredder]

I guess let's start by figuring out p. Yes, try plugging in (3,8) and see what it gives you