Lesson 6

Lesson 6 Summary

 

In this lesson you investigated the following questions:

• What processes can be used to fully factor binomials and trinomials?
  
  
• How can you use a quadratic equation in factored form to find the roots of the quadratic equation?
  
  
• How can you explain the relationships among the roots of an equation, the zeros of the corresponding function, and the x-intercepts of the graph of the function?

You learned that the roots of a quadratic equation are the solutions to the corresponding function set equal to zero. The roots have the same values as the x-intercepts of the graph of the corresponding function and the zeros of that function.

 

By changing a function into a corresponding equation with one side equal to zero, you were able to solve for the x-intercepts of the graphs and the zeros of the function. This enabled you to answer questions involving those functions.

 

In the next few lessons you will learn other strategies for solving quadratic equations using graphs and the quadratic formula.