Given:
A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .
To find:
The fourth-degree polynomial function in factored form.
Solution:
The factor for of nth degree polynomial is:

Where,
are n zeros of the polynomial.
It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:


![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
On further simplification, we get

![[\because i^2=-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20i%5E2%3D-1%5D)
Therefore, the required fourth degree polynomial is
.
11 cups of strawberries ... 6 pitchers of juice
x cups of strawberries = ? ... 1 pitcher of juice
If you would like to know what is the number of cups of strawberries in each pitcher, you can calculate this using the following steps:
11 * 1 = 6 * x
11 = 6 * x /6
x = 11/6
x = 1 5/6 cups of strawberries
Result: You will need 1 5/6 cups of strawberries in each pitcher.
<span>6.3
Looking at the triangle, you can see that point D bisects line segment AB and that point E bisects line segment BC. In fact, you can easily determine that triangles ABC and DBE are similar triangles with DBE having sides that are half the length of the respective sides in ABC. And since line segment DE corresponds to line segment AC which is 12.6 units long, line segment DE is 12.6/2 = 6.3 units long.</span>
Answer:
decimal
Step-by-step explanation:
Before using the rate given as a percentage in simple interest formula, you must first convert it to decimal.
This helps in simplifying the work and help the calculation.
Simple interest =
P is the principal
R is the rate
T is the time
The rate is taken to decimal and inserted into the problem.