tewjackson5953 tewjackson5953
  • 02-07-2018
  • Mathematics
contestada

Write a polynomial function in standard form with real coefficients whose zeros include 2 comma 7 i comma and negative 7 i .

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Luv2Teach
Luv2Teach Luv2Teach
  • 02-07-2018
This will be a third degree polynomial since we have 3 zeros.  We will FOIL them out.  They are: (x-2), (x+7i), (x-7i).  The product of the second and third factors gives us [tex]x^2-49i^2[/tex].  i^2 = -1, so if we simplify, we have [tex]x^2-49(-1)=x^2+49[/tex].  Now we will multiply that with x-2 to get [tex]x^3-2x^2+49x-98[/tex].  There you go!
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