Using the Conjugate Zeros Theorem - Concept

Concept Concept (1)

There are different methods for finding the zeros of an expanded polynomial, one of which uses the conjugate zeros theorem. If we are given an imaginary zero, we can sometimes use the conjugate zeros theorem to factor the polynomial and find other zeros. The conjugate zeros theorem says that if a polynomial has one complex zero, then the conjugate of that zero is a zero itself.

Sample Sample Problems (3)

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Using the Conjugate Zeros Theorem - Problem 1
Problem 1
How we find the zeros of a quartic (4th degree polynomial) function when one imaginary zero is known.
Using the Conjugate Zeros Theorem - Problem 2
Problem 2
How we find the zeros of a quartic (4th degree polynomial) function when one imaginary zero is known.
Using the Conjugate Zeros Theorem - Problem 3
Problem 3
How we find the zeros of a quintic (5th degree polynomial) function when two imaginary zeros are known.