SOLUTION: What is the degree of the simplest polynomial with integger coefficients that has square root of 5 and 5i as zeros? Explain. A.)3 B.)4 C.)5 D.)6

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Question 553731: What is the degree of the simplest polynomial with integger coefficients that has square root of 5 and 5i as zeros? Explain. A.)3 B.)4 C.)5 D.)6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is (A)3 because complex roots
always come in pairs which look like
+a+%2B+b%2Ai+ and +a+-+b%2Ai+
+-5i+ is actually +0+-+5i+, so there
must be a +0+%2B+5i+, making 3 zeros