Rationalizing the Denominator – Examples and Practice Problems

Rationalizing the Denominator – Examples and Practice Problems

Rationalization is the process of removing radicals from the denominator of a fraction. To rationalize denominators we have to multiply the expression by a convenient value so that, when simplifying, we eliminate the radicals from the denominator. There are two main...
Asymptotes – Examples and Practice Problems

Asymptotes – Examples and Practice Problems

The asymptotes of a function are values that a function approaches as the values of x approach a specific value. For example, a function can approach but never reach, the x-axis as the x values tend to infinity. Here, we will look at a summary of the three types of...
Exercises on Polynomials

Exercises on Polynomials

Polynomials are algebraic expressions that contain variables and coefficients along with mathematical operations such as addition, subtraction, and multiplication. We can perform mathematical operations similar to how we perform operations with algebraic expressions....
Applications of Logarithms

Applications of Logarithms

Logarithms have a large number of applications in real life. Logarithms are especially used to create measurement scales that are more manageable. Some examples of the applications of logarithms include the Richter scale for measuring earthquakes, the decibel scale...
Properties of Logarithms – Proofs and Examples

Properties of Logarithms – Proofs and Examples

The properties of logarithms, also known as the laws of logarithms, are useful as they allow us to expand, condense, or solve equations that contain logarithmic expressions. Here, we will learn about the properties and laws of logarithms. We will learn how to derive...
Quadratic Formula – Examples and Practice Problems

Quadratic Formula – Examples and Practice Problems

The quadratic formula allows us to solve any type of quadratic equation. This formula is extremely useful since some equations cannot be solved by factoring. Here, we will look at a summary of the quadratic formula. In addition, we will explore various examples with...