SOLUTION: What is the degree of the simplest polynomial with integer coefficents that has 3, 3i, and 3+3i as zeros?

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) (Show Source): You can put this solution on YOUR website!
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
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