Answer:
![f(x)=x^2+16](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B16)
Step-by-step explanation:
By the conjugate rule, if -4i is a root, then so is +4i. So we have 2 roots, thus, we have a second degree polynomial (namely, a quadratic). If
x = -4i, then
x + 4i is a root.
If
x = 4i, then
x - 4i is a root.
Having (x - 4i)(x + 4i) as roots, we can now FOIL them together to get a polynomial of least degree.
FOILing gives us
![x^2+4ix-4ix-16i^2](https://tex.z-dn.net/?f=x%5E2%2B4ix-4ix-16i%5E2)
Notice that the +4ix and the -4ix cancel each other out, leaving you with
![x^2-16i^2](https://tex.z-dn.net/?f=x%5E2-16i%5E2)
Since
![i^2=-1](https://tex.z-dn.net/?f=i%5E2%3D-1)
we can make the substitution:
![x^2-16(-1)](https://tex.z-dn.net/?f=x%5E2-16%28-1%29)
which simplifies to
![x^2+16](https://tex.z-dn.net/?f=x%5E2%2B16)
In function notation form:
![f(x)=x^2+16](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B16)
Answer:
18 3/4
Step-by-step explanation:
hope this helps
Answer:
YES BUT NO BECAUSE WHERE DOES THE 11 COME FROM THATS WHAT I DONT GET? I DONT UNDERSTAND!!
Step-by-step explanation:
Answer:
r= 10 inches
Step-by-step explanation:
r = 10 inches
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Answer:
2.13% incorrect 97% correct
Step-by-step explanation: