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

Sagot :

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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