Find the complex zeros of the following polynomial functio
$f (x) = x^{3} - 9 x^{2} + 31 x - 39$

Answer

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Final Answer: The complex zeros of the polynomial function are $3 + 2 j$ , $3 - 2 j$ , and $3$ .

Steps

Step 1 ：We are given the polynomial function $f (x) = x^{3} - 9 x^{2} + 31 x - 39$ .

Step 2 ：We need to find the complex zeros of this polynomial function.

Step 3 ：We use the numpy.roots() function to calculate the roots of the polynomial with coefficients given in a list. The roots may be real or complex numbers.

Step 4 ：The coefficients of the polynomial are [1, -9, 31, -39].

Step 5 ：The roots of the polynomial are 3+2j, 3-2j, and 3.

Step 6 ：These are the complex zeros of the polynomial function.

Step 7 ：Final Answer: The complex zeros of the polynomial function are $3 + 2 j$ , $3 - 2 j$ , and $3$ .

Find the complex zeros of the following polynomial functiof(x)=x3−9x2+31x−39

Answer

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Find the complex zeros of the following polynomial functio
$f (x) = x^{3} - 9 x^{2} + 31 x - 39$