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| Math Central | Quandaries & Queries |
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Question from Adori, a student: Find a polynomial with integer coefficients that has the given zeros: 2/3, 4, root of 3i, root of -3i. |
Adori,
Are the zeros 2/3, 4, root(3) i and -root(3) i?
Harley
Adori responded
Yes
Adori,
If you look at our responses to similar questions here and here you will see how to obtain a polynomial with real coefficients that has the zeros you require. Can you see how to obtain a polynomial with integer coefficients?
Write back if you need more help,
Harley
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