2.6E: Exercises
Exercises
Verbal
Algebraic
For the following exercises, use the Remainder Theorem to find the remainder.
For the following exercises, use the given factor and the Factor Theorem to find all real zeros for the given polynomial function.
For the following exercises, use the Rational Zero Theorem to find all real zeros.
For the following exercises, find all complex solutions (real and non-real).
Graphical
For the following exercises, use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph to confirm which of those possibilities is the actual combination.
Numeric
For the following exercises, list all possible rational zeros for the functions.
Technology
For the following exercises, use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational.
Extensions
For the following exercises, construct a polynomial function of least degree possible using the given information.
Real-World Applications
For the following exercises, find the dimensions of the box described.
For the following exercises, find the dimensions of the right circular cylinder described.