Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

use the ideas developed in this section to analyze the equations found in earlier parts of the project.

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

derive and apply the quadratic formula
analyze the quadratic formula to connect its components to the graphs of quadratic functions
solve quadratic equations
relate the nature of the roots of quadratic equations and the x- intercepts of the graphs of corresponding functions
represent non-real roots of quadratic equations as complex numbers
demonstrate an understanding of the role of irrational numbers in applications
demonstrate an understanding of the nature of the roots of quadratic equations

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

zeros of a function
use the discriminant to determine the number and nature of the roots of the quadratic equation
the relationship between the coefficients of the quadratic equation and the sum and product of the roots.