For the Complex Polynomial Below, One of Its Zeroes Is

question 10

Short Answer

For the complex polynomial below, one of its zeroes is z = 5i. Use the given zero to help find all zeroes of the polynomial, then write the polynomial in completely factored form. Hint: synthetic division and the quadratic formula can be applied to all polynomials, even those with complex coefficients.
C(z) = z³ + (1 - 5i)z² + (-6 - 5i)z + 30i.

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Definitions:

Sample Means

The average value derived from a subset of a larger population, used as an estimate of the overall population mean in statistical analysis.

Subjective Sampling

A sampling technique where the samples are selected based on the judgment of the researcher, rather than using random selection methods.

Judgment Sampling

A non-probability sampling technique where the researcher selects units to be sampled based on their knowledge and professional judgment.

Convenience Sampling

A non-probability sampling method where subjects are selected because of their convenient accessibility and proximity to the researcher.