Given the degree, the real and imaginary solutions, and a point the graph goes through, I use the Linear Factorization Theorem to find the original polynomial function.
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class.
In the last problem, the question would have to specify that the coefficients of the polynomial are real. Otherwise complex solutions don't necessarily have to occur in conjugate pairs. Find free review test, useful notes and more at http://www.mathplane.com
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