Question

Find the multiplicity of
f(x) = x^3 + 7x^2 - 4x - 28

Answer 1

a polynomial does not have a "multiplicity"
zeros of a polynomial do, but not a polynomial

Answer 2

I know the answer and this question has multiplicities of 1 but idk how to get to it.

Answer 3

can you post the entire question just as it is written?

Answer 4

Find the zeroes for each polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero.

Answer 5

that makes sense
it is not really what you posted though is it?

Answer 6

That's the question and there is an answer but it's one of the hard problems that I have no idea how to do. I did a couple ones earlier but i have no idea how to do this one.

Answer 7

Example:
f(x) = x^3 -2x^2 + x
> x(x^2 - 2x + 1)
>>x (x-1)^2
x=0 w/ multiplicity of 1 and x=1 w/ multiplicity of 2

Answer 8

you need to find the zeros of that thing
maybe you can factor it

Answer 9

I need help factoring, I don't know what to take out first

Answer 10

either there is a typo or you have to use a graphing calculator
this does not factor
here is a picture
http://www.wolframalpha.com/input/?i=x^3+%2B+7x^2+-+4x+%2B28

Answer 11

you can see that it only crosses the x axis once so there is only one zero

Answer 12

It factors out to ( x +/- 2) and (x+7)

Answer 13

and because it crosses there, not touches, the multiplicity of that zero is one

Answer 14

not the one you wrote

Answer 15

oh wait x^3 + 7x^2 -4x-28

Answer 16

Screwed that -28 my bad