lorem1489 lorem1489
  • 10-07-2018
  • Mathematics
contestada

Find a polynomial with integer coefficients that satisfies the given conditions p has degree 4 zeros -2-5i 2 0

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sqdancefan
sqdancefan sqdancefan
  • 10-07-2018
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
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