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Wolfram Rittmeyer · Answer 1 · 2019-03-11T18:21:08+0000

Since the coefficients are real, the conjugate of the given complex zero is also a zero. Your polynomial is
p = (x-(-2-5i))·(x-(-2+5i))·(x-2)·(x-0)
= ((x+2)²-(5i)²)·(x² -2x)
= (x² +4x +29)·(x² -2x)
p = x⁴ +2x³ +21x² -58x

Find a polynomial with integer coefficients that satisfies the given conditions p-example-1

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