SOLUTION: What is the degree of the simplest polynomial with integer coefficents that has 3, 3i, and 3+3i as zeros?
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Question 553727
:
What is the degree of the simplest polynomial with integer coefficents that has 3, 3i, and 3+3i as zeros?
Answer by
scott8148(6628)
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complex roots (zeros) occur in conjugate PAIRS, so 3i and 3+3i both have a conjugate "partner"
this would mean five zeros, or a fifth degree polynomial
