Using the fundamental theorem of algebra, complete the following exercises. show your work.
1. determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100.
2. determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125.
3. the following graph shows a seventh-degree polynomial: (graph below)
part 1: list the polynomial’s zeroes with possible multiplicities.
part 2: write a possible factored form of the seventh degree function.
4. without plotting any points other than intercepts, draw a possible graph of the following polynomial:
f(x) = (x + 8)3 (x + 6)2 (x + 2)(x − 1)3 (x − 3)4 (x − 6).

i think this is a open ended question but i agree with other guy who said you should ask it at english section

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.

first 15 divide by 2 = 7.5

100 divided by 7.5 is 13.

15 / 2 = 7.5

100 / 7.5 = 13.