 34 lessons
 0 quizzes
 7 week duration

Unit 1: Linear Systems

Unit 2: Analytic Geometry

Unit 3: Geometric Properties

Unit 4: Quadratic Relations
Most relations that you have studied in mathematics have been linear. However, many nonlinear also exist in real life.

Unit 5: Quadratic Expressions

Unit 6: Quadratic Equations

Unit 7: Trigonometry
Factor a Perfect Square Trinomial
In this unit’s final lesson, we’ll learn how to quickly factor general form quadratics that are considered “perfect square trinomials” (PST). In a PST, the first and last term of these trinomials are always perfect squares. If you don’t recognize the pattern of a PST, you could still factor the quadratic normally by trialanderror or by decomposition. Therefore, remembering this technique isn’t technically required but if you do recognize the pattern, consider it a shortcut.
Examples of a perfect square trinomials are:
 y = x² + 6x + 9
 Here, √x² = x and √9 = 3
 This factors into (x + 3)²
 y = 4x² +28x + 49
 Here, √4x² = 2x and √49 = 7
 This factors into (2x + 7)²
Two more examples of factoring perfect square trinomials are shown in the video below.
Takehome message:
You can factor a perfect square trinomial as:
 a² + 2ab + b² = (a + b)²
 a² – 2ab + b² = (a – b)²