Using the Factor Theorem, the polynomials are given as follows:
1. 
2. 
3. P(x) = -0.1(x³ - 4x² - 3x + 18)
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots
is given by:

In which a is the leading coefficient.
Item a:
The parameters are:

Hence the equation is:
P(x) = (x - 1)²x²(x + 4)
P(x) = (x² - 2x + 1)(x + 4)x²
P(x) = (x³ + 2x² - 7x + 1)x²

Item b:
The roots are:

Hence:
P(x) = a(x - 4)²x(x + 4)
P(x) = a(x² - 16)x(x - 4)
P(x) = a(x³ - 16x)(x - 4)

It passes through the point x = 5, P(x) = 36, hence:
45a = 36.
a = 4/5
a = 0.8
Hence:

Item 3:
The roots are:

Hence:
P(x) = a(x - 3)²(x + 2)
P(x) = a(x² - 6x + 9)(x + 2)
P(x) = a(x³ - 4x² - 3x + 18)
For the y-intercept, x = 0, y = -1.8, hence:
18a = -1.8 -> a = -0.1
Thus the function is:
P(x) = -0.1(x³ - 4x² - 3x + 18)
More can be learned about the Factor Theorem at brainly.com/question/24380382
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About 125,000/415,000 junior college students
I think you forgot the decimal points
Andy and Diana both got some pocket money from their aunt.
Andy spent all his money on collector's coins, he bought 5 of them.
Diana bought 3 of such coins, and she brought home 20 dollars of change.
after they came home their sister said "hah! I bet you I can find out how much each coin costs even if you don't tell me how much money your aunt gave you, if she gave you both the same amount!"
So, how much does each coin cost?
Answer:
4 feet
Step-by-step explanation:
A square has 4 sides.
16/4=4 feet
Hope this helps =]