msnipes33
msnipes33 msnipes33
  • 23-10-2016
  • Mathematics
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if f(0)=287 and 5+4i is a root, what is the standard form of the polynomial function?

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apologiabiology
apologiabiology apologiabiology
  • 23-10-2016
if a+bi is a root, then a-bi is also a root
5+4i is a root, 5-4i is also a root

if f(0)=287

For f(0)=287, therefor it is

f(x)=sometingx+287 since the x's cancel for f(0)

5-4i and 5+4i


(x-(5-4i)) and (x-(5+4i))

(x-5+4i)(x-5-4i)

x^2-10x+41

right now, f(x)=41

41*what=287

Divide both sides by 41

what=7


time whole equation by that


f(x)=7(x^2-10x+41)

f(x)=7x^2-70x+287


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