SOLUTION: Find all solutions, real and complex, of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
x^3 + 4x^2 + 16x + 64 = 0
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Question 898498: Find all solutions, real and complex, of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
x^3 + 4x^2 + 16x + 64 = 0
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Try testing the roots, plus-or-minus 2, 4, 8, using synthetic division. You should find -4 is a root, so your polynomial is . The quadratic factor will have complex roots with an imaginary number. They are and .
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