This problem is about finding the zeroes and factorization of complex polynomials with the highest degree of 4. In concept 10, we will have either irrational or imaginary numbers as one or more of our zeroes. We will be applying the rational roots and factor theorem, along with Descartes Rule of Signs, to solve this polynomial. Dealing with imaginary numbers is also a useful skill to have. As a result, it is imperative that a student has studied the previous concepts well, as this concept will combine all of them into solving a polynomial to the 4th degree.
A student needs to pay special attention to the synthetic division of the polynomial by one of the possible zeroes. It is crucial to use the next synthetic division bar once he or she has found of the zero heroes. Then, after dividing the 4th degree polynomial twice, the student now has a solvable quadratic polynomial and can easily find the rest of the zeroes in this way.
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