Centre for Distance Learning and Innovation

Outcomes

In this lesson you will learn

to solve polynomial equations and inequalities by examining the graphs of the corresponding polynomial functions
how to find the local maximum and local minimum values of a polynomial function

By the end of this section students will be able to:

analyze relations, functions and their graphs
use tables and graphs as tools to interpret expressions
analyze and solve polynomial, rational, irrational, absolute value and trigonometric equations
analyze and solve polynomial, rational, irrational and absolute inequalities
model real-world phenomena with a variety of functions/relations
determine the equations of polynomial and rational functions
factor polynomial equations

To be successful in this lesson, it would be helpful to know the following:

how to graph cubic and quartic functions
how to solve quadratic equations and inequalities by examining the graph of the quadratic function
the shapes of the graphs of cubic and quartic functions
the effect the degree of a polynomial has on the maximum possible number of real roots
the "zero principle"
the relationship between the roots of a polynomial equation and its factors
how to find the surface area of a box (for #18)
formula for volume of a box (for #17)
formula for volume of a cylinder (for #23)