Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient. Polynomial of lowest degree with lowest possible integer coefficients and zeros of 6i and - 2i.

Question

Akira Moss

Mathematics

12 May, 22:49

Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient. Polynomial of lowest degree with lowest possible integer coefficients and zeros of 6i and - 2i.

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Rolando Bernard · Answer 1

f (x) = (x - 6i) (x - (-2i))

f (x) = (x - 6i) (x + 2i)

f (x) = x² - 6xi + 2xi - 12i² (but i² = - 1)

f (x) = x² - 6xi + 2xi + 12

f (x) = x² - 4xi + 12