SOLUTION: Find the complex zeroes of the polynomial function. Write the function in factored form. Steps would be extremely helpful. 𝑓𝑥 =𝑥^4+13𝑥^2+36

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Question 1079208: Find the complex zeroes of the polynomial function. Write the function in factored form. Steps would be extremely helpful.
𝑓𝑥 =𝑥^4+13𝑥^2+36

Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
 = (apply factoring) = .

The zeroes for  are the complex numbers 2i and -2i.

The zeroes for  are the complex numbers 3i and -3i.


The full set of zeroes is {-3i, -2i, 2i, 3i}.

Solved.


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