SOLUTION: A polynomial of lowest degree with real coefficients which has 2, 3^1/2, and 2i as zeros would be of degree a. 3, b. 4, c. 5, d. 6, e. 7, f. 8, g. none of these

Algebra ->  Graphs -> SOLUTION: A polynomial of lowest degree with real coefficients which has 2, 3^1/2, and 2i as zeros would be of degree a. 3, b. 4, c. 5, d. 6, e. 7, f. 8, g. none of these      Log On


   



Question 285994: A polynomial of lowest degree with real coefficients which has 2, 3^1/2, and 2i as zeros would be of degree
a. 3, b. 4, c. 5, d. 6, e. 7, f. 8, g. none of these

Answer by solver91311(24713) About Me  (Show Source):
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Both complex and irrational roots come in pairs. You have one rational number root, one irrational number root, and one complex number root. The single rational number root is ok, but you need another irrational root and another complex number root for a total of 5 roots.

John