# Mathematics for Technology I (Math 1131)

Durham College, Mathematics
Free
• 55 lessons
• 1 quizzes
• 10 week duration
• ##### Numerical Computation

Here you'll be introduced to the bare basics of mathematics. Topics include commonly used words and phrases, symbols, and how to follow the order of operations.

• ##### Measurements

An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

• ##### Trigonometry with Right Triangles

Here we focus on right angle triangles within quadrant I of an x-y plane. None of the angles we evaluate here are greater than 90°. A unit on trigonometry with oblique triangles is covered later.

• ##### Trigonometry with Oblique Triangles

This unit is a continuation of trigonometry with right triangles except we'll extend our understanding to deal with angles *greater* than 90°. Resolving and combining vectors will be covered at the end of this unit.

• ##### Geometry

This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.

## Mathematics for Technology I (Math 1131)

### 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 trial-and-error 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:

1. y = + 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

Two more examples of factoring perfect square trinomials are shown in the video below.

Take-home message:

You can factor a perfect square trinomial as:

• a² + 2ab + b² = (a + b)²
• a² – 2ab + b² = (a – b)²