Let f(x) x3 3x2 x 3. (a) Factor f(x) by using the basic factoring techniques in Appendix
Chapter 12, Problem 60(choose chapter or problem)
Let f(x) x3 3x2 x 3. (a) Factor f(x) by using the basic factoring techniques in Appendix B.4. (b) Sketch the graph of f(x) x3 3x2 x 3. Note that 3 is a lower bound for the roots. (c) Show that the number 3 fails the lower bound test. This shows that a number may fail the lower bound test and yet be a lower bound. (We say that the lower bound test provides a sufficient but not a necessary condition for a lower bound.) c
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