Just multiply 37.7 by 4 and get your answer.
Answer:
![p (x) = x^{3} - 21x^{2}+ 147x - 343](https://tex.z-dn.net/?f=p%20%28x%29%20%3D%20x%5E%7B3%7D%20-%2021x%5E%7B2%7D%2B%20147x%20-%20343)
is the required polynomial with degree 3 and p ( 7 ) = 0
Step-by-step explanation:
Given:
p ( 7 ) = 0
To Find:
p ( x ) = ?
Solution:
Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.
Therefore zero's of the polynomial is seven i.e 7
Degree : Highest raise to power in the polynomial is the degree of the polynomial
We have the identity,
![(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}](https://tex.z-dn.net/?f=%28a%20-b%29%5E%7B3%7D%20%3D%20a%5E%7B3%7D-3a%5E%7B2%7Db%20%2B3ab%5E%7B2%7D%20-%20b%5E%7B3%7D)
Take a = x
b = 7
Substitute in the identity we get
![(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343](https://tex.z-dn.net/?f=%28x%20-7%29%5E%7B3%7D%20%3D%20x%5E%7B3%7D-3x%5E%7B2%7D%287%29%20%2B3x%287%29%5E%7B2%7D%20-%207%5E%7B3%7D%5C%5C%28x%20-7%29%5E%7B3%7D%20%3D%20x%5E%7B3%7D-21x%5E%7B2%7D%20%2B147x%20-%20343)
Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.
p ( 7 ) = 7³ - 21×7² + 147×7 - 7³
p ( 7 ) = 0
![p (x) = x^{3} - 21x^{2}+ 147x - 343](https://tex.z-dn.net/?f=p%20%28x%29%20%3D%20x%5E%7B3%7D%20-%2021x%5E%7B2%7D%2B%20147x%20-%20343)
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Answer:
199
Step-by-step explanation:
Ok, lets do the math, 41,790 is going to be the number we divide by, and than we use 210 to divide it with, meaning the final answer is 199.
Step-by-step explanation: