What are Complex Numbers?

Complex numbers are the numbers that are expressed in the form a+bi, where a and b are real numbers and “i” is the imaginary unit. … Read more

What are Imaginary Numbers?

An imaginary number is a number that, when squared, has a negative result. In other words, imaginary numbers are defined … Read more

When did complex numbers appear?

The first mention of complex numbers is around 50 BC when finding a square root of a negative number. However, … Read more

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 … Read more

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, … Read more

Exercises on Polynomials

Polynomials are algebraic expressions that contain variables and coefficients along with mathematical operations such as addition, subtraction, and multiplication. We … Read more

Applications of Logarithms

Logarithms have a large number of applications in real life. Logarithms are especially used to create measurement scales that are … Read more

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, … Read more

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 … Read more

Binomials Cubed – Examples and Practice Problems

Binomials cubed exercises can be solved using two methods. The first method consists in multiplying the binomial three times and … Read more