Questions: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as some of its zeros. Find the other zeros 6, -5+4i, 2-√5

Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as some of its zeros. Find the other zeros 6, -5+4i, 2-√5
Transcript text: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as some of its zeros. Find the other zeros 6, $-5+4 i, 2-\sqrt{5}$
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Solution

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Solution Steps

Step 1: Identify the given zeros

The given zeros are: 6, (-5+4j), -0.236.

Step 2: Use the Complex Conjugate Root Theorem

Since (-5+4j) is a given zero and the coefficients are rational, its conjugate -5 - 4.0i is also a zero.

Step 3: Determine the remaining zeros

This step involves using the Rational Root Theorem and solving for any unknown zeros, which requires specific problem details not provided in this general solution.

Final Answer:

The identified zeros are: -0.236, -5-4.00j, 6, -5+4.00j.

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