Answer:
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 
If we use the width as x we have 2x with both widths and 4x with both lengths. So 6x=24 and x=4. So length is 8 and width is 4.
The answer is -300
I found the answer on a regents
Answer:
x = 
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 17 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
- 2x + 4 = -6x - 17
→ Add - 6x to both sides to bring all the 'x' coefficients to one side
4x + 4 = -17
→ Minus 4 from both sides to bring all the integers to the other side
4x = -21
→ Divide both sides by 4 to isolate x
x = 