What is the full polynomial zeros with these safe?
Well, what really gives the zeros in this problem. It is said, not exactly: The zeros of a given polynomial degree 4 are 3 and (3-i). The 3 has a multiplicity of 2. What is the polynomial of zeros than the above?
The part of the lamina is really messy. I suggest you note the following: (x + a + bi) (x + a - bi) = x ^ 2 + 2ax + (a ^ 2 + b ^ 2) for your problem, a 3 = and B = 1. Therefore, the imaginary quadratic roots is x ^ 2 - 6x + 10. Combine that with the second degree with real roots, and you get: (x ^ 2 - 6x + 10) (x ^ 2 - 6x + 9) If my math is correct, that expands to: x ^ 4 - 12x ^ 3 + 55x ^ 2 - 114x + 90 OK, let's check with x = 3. The positive terms coming to 81 + 495 + 90 = 666. The negative terms reached -324 + -342 = -666. OK, the math checks, but these two really pull 666 ...
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