margalvis471 margalvis471

04-11-2021
Mathematics

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find a polynomial of degree 4 that has integer coefficients and zeros 3i and 4 multiplicity 2

Respuesta :

lynnkc2000 lynnkc2000

04-11-2021

Answer:

f(x) = x⁴ - 8x³ + 25x² - 72x + 144

Step-by-step explanation:

f(x) = (x-4)²(x+3i)(x-3i)

= (x²-8x+16)(x²+9)

= x⁴ - 8x³ + 25x² - 72x + 144

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