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Complex Zeros; Fundamental
Theorem
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 2 +3 i; - 3 multiplicity 2
Let a represent the leading coefficient. The polynomial is f(x) = a
(Type an expression using x as the variable. Use integers or fractions for any numbers in the expression.

1 Answer

8 votes

Answer:

p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.

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User DataGraham
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