Ex 7: Find the Zeros of a Degree 5 Polynomial Function

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This video provides an example of how to find the zeros of a degree 5 polynomial function given one imaginary zero with the help of a graph of the function. The function has 2 imaginary zeros, 2 irrational zeros and 1 rational zero.
  1. Mathispower4u
  2. zeros
  3. roots
  4. find
  5. imaginary
  6. complex
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Hello, mr Sousa! I have a question.
Without looking at graph to find out one of the roots, we should first perfom a syntetic division of the polynomial by given amaginary number, divide the quotient by the second imaginary zero, get a polynomial of 3d degree and then to try the rational zero theorem to get another factor and 2nd degree polynomial, which at last we can factored by grouping or by any other technic. Am I right, mr Sousa, or are there other ways to find out the rest of zeros algebraically?   And what if we have even higher nonfactorable degree polynomial, how then we can factor the entire polynomial? Thank you very much again for the videos.

architectEvo