SOLUTION: write the simplest polynomial equation that has roots 1+ 2i and 4

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Question 973435: write the simplest polynomial equation that has roots 1+ 2i and 4
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(x-1)(x-4)(X^2+4)=0. The last must have two roots, +/- 2i
(x^2-5x+4)(x^2 +4)=0
x^4-5x^3+8x^2-20x+16
graph%28300%2C300%2C-5%2C10%2C-30%2C70%2Cx%5E4-5x%5E3%2B8x%5E2-20x%2B16%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
write the simplest polynomial equation that has roots 1+ 2i and 4
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Complex roots occur in pairs.
--> 1+2i, 1-2i, 4
(x^2 -2x + 5)*(x-4)
= x^3 - 6x^2 + 13x - 20
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The other tutor interpreted it as
1, +2i and 4.