# Mathematics I (Math 1132)

Durham College, Mathematics
Free
• 42 lessons
• 0 quizzes
• 10 week duration
• ##### 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.

• ##### Fractions, Percentage, Ratios and Proportion

Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.

• ##### Geometry

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

## Mathematics I (Math 1132)

### Simplifying Complex Polynomials in Multiple Brackets

The grouping of algebraic terms using parentheses plays a major role in how an expression gets evaluated. Symbols of grouping used in mathematical expressions include parentheses ( ), brackets [ ], and braces { }, and they all serve the same common purpose, that is, the terms they enclose are to be treated as a single term. Apart from that, they give an expression a sense of hierarchy, allowing a group of terms to be nested within another group. For instance, the innermost group of terms are always placed inside parentheses − these terms get evaluated first. The group containing the first group and all other terms are contained is square brackets. And, if there’s a third group, all preceding groups are placed within curly brackets. The example shown below shows the three signs of segregation discussed:

Note that if the +6 wasn’t added to the equation, the curly brackets (braces) wouldn’t be required. The two videos below explore how these symbols are dealt with when it comes to multiplying and simplifying polynomials.