Lesson 2

1. Lesson 2

1.11. Connect

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

Connect

This shows a photo of an outdoor ice rink at night time with many people skating under the lights.

Lesson 2 Assignment

Open your copy of Lesson 2 Assignment, which you saved in your course folder at the beginning of this lesson. Complete the assignment.

Project Connection

In Module 4 Project: Imagineering, continue working on Blue Sky. You will complete Blue Sky in Lesson 3.

Going Beyond

This cartoon shows a teacher reading a note that says, “Dear Mrs. McKay. Can’t be in class today to write math test. Sick at home. Don’t worry, I have a substitute. He likes math and teaches calculus at the college.”

There are many methods of factoring a quadratic equation. You may have used algebra tiles to factor polynomials in your previous math studies. That method is also valid for quadratic equations.

An interesting method of factoring a quadratic equation was developed by François Viète, a 16th-century French mathematician. You may remember Monsieur Viète, from Mathematics 10C Learn EveryWare, as the code-cracking King’s advisor who used his math skills to decipher enemy correspondence in France’s war with Spain. The factoring algorithm he used is based on substitution.

This is a play button that opens Factoring by Substitution.

Watch Factoring by Substitution to see the steps of the algorithm. Then try applying the steps to any of the quadratic equations you have encountered in this lesson.