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  • 11-10-2021
  • Mathematics
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write a degree 3 polynomial with zeros 1, 5i, and -5i

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vialia
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  • 11-10-2021

Answer:

x^3 -x^2 + 25x - 25

Step-by-step explanation:

x = 1

x = 5i

x = -5i

(x - 1)(x - 5i)(x + 5i)

Multiply

(x - 1)(x^2 + 5ix - 5ix + 25) *Remember that i multiplied by i equals negative and in this situation, one of the variables was already negative, so negative multiplied by negative is positive*

(x - 1)(x^2 + 25)

Multiply again

x^3 + 25x -1x^2 - 25

x^3 -x^2 + 25x - 25

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