Algebra 71 - Solving Difference of Squares Quadratic Equations @MyWhyU

Uploaded March 2018 | Updated September 2026, 2 weeks ago

Factoring a quadratic expression into a pair of linear expressions is one of the primary methods used to solve quadratic equations. The trick is to find a pair of linear expressions which when multiplied together, produce the quadratic expression. Fortunately, there are several cases of quadratic expressions called "special products" whose factors can be easily identified. In this lecture we examine how to identify and factor one of those special products called the "difference of squares".

Algebra 71 - Solving Difference of Squares Quadratic Equations

Algebra 89 - Multiplying Polynomial Functions

$Algebra 91 - Rational Functions and Vertical Asymptotes A rational function is any function that can be written as a fraction whose numerator and denominator are polynomials. Rational functions include a broad range of possibilities. For example, since a polynomial can be a constant, a rational functions numerator and denominator can both be constants, in which case the rational function is simply a constant function. Unlike polynomial functions whose domains include all real numbers, in this lecture we show that any x value that causes the functions denominator to be zero will be excluded from the functions domain. These excluded x values produce missing points in the functions graph, and these missing points may be the locations of vertical asymptotes. Even though a functions graph can approach infinitely close to a vertical asymptote, it can never intersect that asymptote, since when the denominators value is zero, the functions value is undefined. A vertical asymptote is therefore a vertical line that a functions graph can approach arbitrarily close to, but can never intersect.$ $Pre-Algebra 14 - Creating Common Denominators Addition and subtraction of fractions with different denominators requires creating a common denominator. Using the number line, this mysterious process can be easily visualized.$

Algebra 45 - Three Variable Systems with Infinite or Null Solution Sets

Algebra 13 - Domain and Range of Binary Relations

Algebra 76 - Completing the Square - part 2

Algebra 96 - Exponential Functions and Compound Interest

$Pre-Algebra 19 - Converting Terminating Decimal Numbers to Fractions Decimal numbers with a finite number of digits after the decimal point can be easily converted into fractions. This chapter explains why.$

Algebra 88 - Adding and Subtracting Polynomial Functions