The following graph shows a seventh-degree polynomial: Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh-degree function. Graph is the link below.
https://docs. google. com/document/d/1CoB9wUiDCZkIijSW9uh St7TJVNvZOMd7uZJ-iuEqLsE/edit?usp=s haring

Part 1)

The possible multiplicities are:

multiplicity 1

multiplicity 3

multiplicity 1

multiplicity 2

Part 2

The factored form is

Step-by-step explanation:

Part 1.

The missing diagram is shown in the attachment.

The zeroes of the seventh degree polynomial are the x-intercepts of the graph.

From the graph, we have x-intercepts at:

, ,   , and .

The multiplicities tell us how many times a root repeats.

Also, even multiplicities will not cross their x-intercept, while odd multiplicities cross their x-intercepts.

The possible multiplicities are:

multiplicity 1

multiplicity 3

multiplicity 1

multiplicity 2

Note that the total multiplicity must equate the degree.

Part 2)

According to the factor theorem, if is a zero of p(x), then is a factor.

Using the multiplicities , we can write the factors as:

Therefore the completely factored form of this seventh degree polynomial is

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

choose (5, 1.5) and (-1.5,-3.5)

step-by-step explanation:

5 - 1.5 =3.5

-1.5 - (-3.5) = 2

3.5 + 2 =5.5

hope this !