Calculate: Polymomial equation with real coefficients taht has roots 5, 4 - 3i is x^{3} - 13x^{2} + 65x - 125=0

Elleanor Mckenzie 2020-11-01 Answered
Calculate: Polymomial equation with real coefficients taht has roots
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Expert Answer

Alix Ortiz
Answered 2020-11-02 Author has 109 answers
Given: Used formula: Calculation: If the polynomial has real coefficients, then it’s imaginary roots occur in conjugate pairs. So, a polynomial with the given . Since each root of the equation corresponds to a factor of the polynomial, also, the roots indicate zeros of that polynomial, thus, the polynomial equation is written as,
Further use arithmetic rule, Here, Now, the polynomial equation is, Use arithmetic rule. And . Now, the polynomial equation is,

Hence the polynomial equation of given roots
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