The Parabola

Lesson 3: Quadratic in Factored Form

 

You can find the roots of some quadratic equations by factoring. This solution method is based on the Principle of Zero Products.

Principle of Zero Products: If m and n are real numbers and mn = 0, then either m = 0 or n = 0.

Also, if m = 0 or n = 0 , mn = 0.

For y = - 5 x + 4 , ( r 1 + r 2 ) = 5 and r 1 x r 2 = 4,

y= (x - 1)(x - 4) so (1, 0) and (4, 0) are the x-intercepts of y.

 

You can find the roots of some quadratic equations by factoring; please read all instructions before starting.

1. Please print out Worksheet 2

2. Go to the Explorelearning web site. Practice the factored form of quadratic functions. Use the free 30 days trial.

3. Use the back button to go back to this lesson.

 

The graph of y= - (x-1)(x-6)

Exercise

 

Here is an another way to find the roots of quadratic equations.

 

1. Please print out Worksheet 3 .

2. Go to the Explorelearning web site.

2. Use browser back button to go back to this site.

 

 

Exercise