## Completing the Square – Examples and Practice Problems

The technique of completing the square is a factoring technique that allows us to convert a given quadratic expression or … Read more

## Solve a Quadratic by Completing the Square

To solve quadratic equations using the method of completing the square, we need to convert an equation from the form … Read more

## Factor Theorem – Examples and Practice Problems

The Factor Theorem is frequently used to factor a polynomial and to find its roots. The polynomial remainder theorem is … Read more

## Exponential Decay – Formulas and Examples

We can model real-life situations with exponential functions. One of these situations is population decline. There are “standard” formulas that … Read more

## Properties of Pascal’s Triangle

Pascal’s triangle is a type of number pattern. The numbers are arranged in a way that reflects a triangle. First, … Read more

## Applications of Pascal’s Triangle

Pascal’s triangle has many applications in mathematics and statistics. We can use Pascal’s triangle to find the binomial expansion. Also, … Read more

## Complex Numbers in Polar Form – Formulas and Examples

By now we are familiar with writing complex numbers in the form z=a+bi. However, there are alternative ways of writing complex … Read more

## Euler’s Formula for Complex Numbers

In the study of complex numbers, as well as in the integration of trigonometric expressions, it is very likely that … Read more

## Exponential Growth – Examples and Practice Problems

Exponential functions can be used to model population growth scenarios or other situations that follow patterns with growth at fixed … Read more

## Logarithmic Equations – Examples and Practice Problems

Logarithmic equation exercises can be solved using the laws of logarithms. With the laws of logarithms, we can rewrite logarithmic … Read more