Answer:
![f(x) = (x + 19)(x^2 + 1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%2B%2019%29%28x%5E2%20%2B%201%29)
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
![i^2 = -1](https://tex.z-dn.net/?f=i%5E2%20%3D%20-1)
Zeros of a function:
Given a polynomial f(x), this polynomial has roots
such that it can be written as:
, in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
![f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x%20-%20%28-19%29%29%28x%20-%20%28-i%29%29%28x%20-%20i%29%20%3D%20a%28x%2B19%29%28x%2Bi%29%28x-i%29%20%3D%20a%28x%2B19%29%28x%5E2%20-%20i%5E2%29%20%3D%20a%28x%20%2B%2019%29%28x%5E2%20%2B%201%29)
Output of 40 when x=1
This means that when
. We use this to find the leading coefficient a. So
![f(x) = a(x + 19)(x^2 + 1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x%20%2B%2019%29%28x%5E2%20%2B%201%29)
![40 = a(20)(2)](https://tex.z-dn.net/?f=40%20%3D%20a%2820%29%282%29)
![40a = 40](https://tex.z-dn.net/?f=40a%20%3D%2040)
![a = 1](https://tex.z-dn.net/?f=a%20%3D%201)
The polynomial is:
![f(x) = (x + 19)(x^2 + 1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%2B%2019%29%28x%5E2%20%2B%201%29)
Answer:
1/27
Step-by-step explanation:
(1/27)^2016*27^2015 =
27^-2016 * 27^2015 =
27^(-2016+2015) =
27^-1 =
1/27
Answer:
66
Step-by-step explanation:
Replace t with 9 in the equation.
![28(1.1)^9](https://tex.z-dn.net/?f=28%281.1%29%5E9)
Simplify.
![28(2.358)](https://tex.z-dn.net/?f=28%282.358%29)
![66.023](https://tex.z-dn.net/?f=66.023)
Rounded, it equals 66
Answer:
Step-by-step explanation:
2o4 because 431 minus 227 is 204
Question is inappropriate
Step-by-step explanation:
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