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AnnZ [28]
3 years ago
13

Find the polynomial from the roots: √3i,-√3i

Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

  x² +3

Step-by-step explanation:

Given these roots, two of the factors are binomials that are zero when x is one of these values:

  (x -√3i), (x +√3i)

If you form the product of these factors, you get a polynomial with real, rational coefficients:

  (x -√3i)(x +√3i) = x² -(√3)²(i²) = x² +3

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