SOLUTION: Write the simplest polynomial function with the given zeros (4-i,4+i)

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Question 1022536: Write the simplest polynomial function with the given zeros (4-i,4+i)
Answer by ikleyn(52884) About Me  (Show Source):
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Write the simplest polynomial function with the given zeros (4-i,4+i)
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p(x) - (x-(4-i))*(x-(4+i)) = ((x-4) + i)*((x-4)-i) = %28x-4%29%5E2+-+i%5E2 = x%5E2+-8x+%2B+16+%2B+1 = x%5E2+-8x+%2B+17