SOLUTION: Write a polynomial function of degree 3 in standard form that has the given zeros. The laeding coefficient should be I. Zeros: -3, 5i, -5i

Algebra ->  Rational-functions -> SOLUTION: Write a polynomial function of degree 3 in standard form that has the given zeros. The laeding coefficient should be I. Zeros: -3, 5i, -5i      Log On


   

Question 424155: Write a polynomial function of degree 3 in standard form that has the given zeros. The laeding coefficient should be I. Zeros: -3, 5i, -5i
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Write a polynomial function of degree 3 in standard form that has the given zeros.

Zeros: -3, 5i, -5i

  (x+3)(x-5i)(x+5i) = 0   Note i^2 = -1

  (x+3)(x^2 +25) = 0

   x^3 + 3x^2 + 25x + 75 = 0