3 years ago

Find a polynomial function of the lowest degree, with real coefficients, with the given roots.

Mathematics

1 answer:

makvit [3.9K]3 years ago

5 0

Answer:

Step-by-step explanation:

Roots into factors:

x = -4 ----> (x + 4)

x = i -----> (x - i)

x = 5 -----> (x - 5)

(x + i)(x - 4)(x + 5)

(x - i)(x² - 4x + 5x - 20)

(x - i)(x² + x - 20)

x³ + x² - 20x - (ix² + ix - 20i)

x³ + (1 - i)x² - (20 + i)x + 20i

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