Solution:
The given Polynomial is :
![f(x) = 5x^4 + 4x^3 - 2x^2 + 2x + 4=5( x^4 + \frac{4}{5}x^3 - \frac{2}{5}x^2 + \frac{2}{5}x + \frac{4}{5})](https://tex.z-dn.net/?f=f%28x%29%20%3D%205x%5E4%20%2B%204x%5E3%20-%202x%5E2%20%2B%202x%20%2B%204%3D5%28%20x%5E4%20%2B%20%5Cfrac%7B4%7D%7B5%7Dx%5E3%20-%20%5Cfrac%7B2%7D%7B5%7Dx%5E2%20%2B%20%5Cfrac%7B2%7D%7B5%7Dx%20%2B%20%5Cfrac%7B4%7D%7B5%7D%29)
By Rational Root theorem the of Zeroes of the Polynopmial are:
![\pm\frac{1}{5},\pm\frac{2}{5},\pm\frac{4}{5},\pm1,\pm2,\pm4](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B1%7D%7B5%7D%2C%5Cpm%5Cfrac%7B2%7D%7B5%7D%2C%5Cpm%5Cfrac%7B4%7D%7B5%7D%2C%5Cpm1%2C%5Cpm2%2C%5Cpm4)
But , ![f(\pm\frac{1}{5},\pm\frac{2}{5},\pm\frac{4}{5},\pm1,\pm2,\pm4)\neq 0](https://tex.z-dn.net/?f=f%28%5Cpm%5Cfrac%7B1%7D%7B5%7D%2C%5Cpm%5Cfrac%7B2%7D%7B5%7D%2C%5Cpm%5Cfrac%7B4%7D%7B5%7D%2C%5Cpm1%2C%5Cpm2%2C%5Cpm4%29%5Cneq%200)
So, no root of this polynomial is real.
Therefore, All the four roots of Polynomial are imaginary.
So, we can't say whether the number k=2, is an upper or lower bound of the polynomial
.
Answer:
$40
Step-by-step explanation:
This isn't the proper way to do this but
5×20=100 so you multiply the $2 by 20
Total paid
Cost of stock+commission
(100×44.41)+(600×19.08)+(700×0.04)
=15,917
The volume of the second prism is 576 cubic centimeters. Since both prisms have the same height, I solved for the height using the data given with the first prism (I got 6 centimeters for the height). And then I calculated for the volume of the second prism.