Category: Algebra

Radical equations appear in math when we take square roots, cube roots, or higher roots of expressions with variables.  Solving these equations is not enough – we also need to verify the solutions...

Radicals come up often in algebra, geometry, calculus, and other subjects in math.  Converting between radicals and rational exponents is helpful in simplifying expressions and solving...

There are lots of graphs that are not functions.  These relations fail the vertical line test, meaning that there is some ambiguity in the output for a given input. So, what cannot be a...

When factoring expressions in algebra, it is sometimes helpful to find the greatest common factor of two or more numbers.  The greatest common factor also has applications in number theory and...

Polynomials and functions come up all the time in mathematics (specifically in algebra), so it helps to know how these two ideas are related. So, is a polynomial a function?  A polynomial is...

If you want to solve a quadratic equation, factoring is one good option.  Not only does factoring tell you the solutions, but it can make things easier if you want to graph the corresponding...