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6 October, 06:07

Find the polynomial from the roots:

√3i,-√3i

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Answers (1)
  1. 6 October, 06:15
    0
    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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