Could somebody help me create an equation for this polynomial graph?

[unborn sedge]

!status

[exotic walrus]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[unborn sedge]

@trail otter

[trail otter]

I keep getting it wrong. I need help going step by step through the problem.

[unborn sedge]

first, how many zeros does it have?

also show work if possible

!show

[exotic walrus]

Show your work, and if possible, explain where you are stuck.

[trail otter]

@unborn sedge I refreshed the problem, This is what I have -1/3(X+3)(x+1)(x-1)

It looks very similar but its not right

This is what I got graphed

[dapper glen]

You must also use the multiplicity of each root. Pay attention to x = 1.

[trail otter]

Could you go into more detail??

[dapper glen]

m = 1: The curve directly crosses the x-axis.
m = 2: The curve touches the x-axis, then bounces back.
m = 3: The curve very gradually crosses the x-axis.

[dapper glen]

And to represent the multiplicity within the factored form of the polynomial, you would have (x - c)^m within your equation.

[trail otter]

Thats what I did no?

@dapper glen

[dapper glen]

You didn’t. Again, how does the given curve cross the x-axis at x = 1?

[trail otter]

Should it be (x-1)^3 as it gradualy crosses at x=1?

@dapper glen

thanks!!!

[dapper glen]

!done

[exotic walrus]

If you are done with this channel, please mark your problem as solved by typing .close

[trail otter]

.close