1. Lesson 2

1.9. Explore 5

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Solving Quadratic Equations by Factoring

 


Remember to look for common factors to factor out first! This will allow you to work with smaller numbers.

Use Solving by Factoring for guided instruction in solving quadratic equations by factoring. Pay attention to the sequence of steps for this strategy. Don’t be afraid to make a mistake—the applet will give you feedback and a chance to correct your errors.

 

To get started, do the following:

  • Click on Solving Quadratic Equations: Factoring.
  • Select the puzzle-piece icon at the top.
  • Select Solving by Factoring.
  • Choose to do additional examples by pressing the “+” button at the bottom of the window.
This is a play button that opens Solving by Factoring.


Self-Check 2
 

Check your understanding by completing Do You Know Your Roots?

 

This is a play button that opens Do You Know Your Roots?

 
Try This 4

 

Now that you have an understanding of how factoring and the zero-product property can help you solve quadratic equations, you are ready to apply the strategies you have learned to real-life contexts.

 

A uniform tile border is to be constructed around the perimeter of a rectangular swimming pool. The total dimensions of the pool and border are to be 30 m by 15 m. If the pool itself has an area of 324 m2, what is the width of the border?

 

This is a diagram of a rectangular pool with a tiled border surrounding its perimeter. The width of the tiled border is labeled x.

  1. Copy the diagram of the swimming pool above. What does x represent?

  2. Complete your diagram by labelling the diagram’s properties with appropriate numbers from the problem description.

  3. Determine an expression for the length and width of the pool surface.

  4. Construct a quadratic equation that can be used to determine the width of the border.

course folder Save your work in your course folder.