SOLUTION: n=3, 2 and 2i are zeros, and f(1)=5 what would the equation for this be?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: n=3, 2 and 2i are zeros, and f(1)=5 what would the equation for this be?       Log On


   

Question 1149111: n=3, 2 and 2i are zeros, and f(1)=5 what would the equation for this be?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
n=3, 2 and 2i are zeros, and f(1)=5 what would the equation for this be?
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Not "the equation." An equation.
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If 2i is a zero, then -2i is also.
If there are no other zeroes:
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---> g(x) = (x-3)*(x-2)*(x-2i)*(x+2i) = (x^2 - 5x + 6)*(x^2 + 4)
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g(1) = (1 - 5 + 6)*(1 + 4) = 10
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Divide by 2.
f(x) = (x^2 - 5x + 6)*(x^2 + 4)/2
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You can multiply that if you like.