Answer:
The completely factored polynomial is:
⇒
Step-by-step explanation:
Given polynomial:
To factor the given polynomial completely.
Solution:
In order to factor the given polynomial, we will find the greatest common factor of the terms and then factor them out by dividing the term by its G.C.F.
The factors can be listed as:
From the factors listed the GCF can be given as =
GCF =
Factoring out the GCF.
The above expression can be simplified by factoring out -1.
(Answer)
Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:
Given that Volume V = 250 in²
Then;
We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;
To find the minimum by determining the radius at which the surface by using the first-order derivative.
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:
Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from
h = 6.8275 in