Polynomiials
posted by raven 31791 .
Find a polynomial function with real coefficients that has the given numbers as roots: 4, 0, 3, italic i
a)x^44x^3 +9x^236x
b)x^34x^2 3x+12
c)x^34x^2 +3x12
d)4x4x^3 9x^2 +36x
My gut instinct is either b or c but I could be wrong.
If it were b or c, x=0 would not work.
a and d do not work with x = i.
None of those choices have all of those four solutions. A polynomial that works is
x(x^2+1)(x3)(x4)
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