Category: Algebra

Inequalities are used to compare values and to express ranges or estimates in the case of uncertainty.  However, you might want to know whether an inequality has solutions and when it may fail...

Even and odd functions have symmetry in their graphs (about the y-axis or the origin).  However, we can also tell what type of function we will get by adding or multiplying two or more of them...

The roots and coefficients of a quadratic equation can be connected by formulas that tell us about their relationship.  Knowing these formulas can make it easier to work with quadratic equations...

The discriminant is used throughout mathematics, from solving quadratic equations in elementary algebra to second order differential equations.  However, it is still necessary to know what the...

We often hear about multiplicative functions in number theory, and they are useful when working with prime numbers.  So, it helps to know what they are and how to use them. So, what is a...

The vertex of a parabola can tell us the extreme value (local maximum or minimum) of a parabola, along with the line of symmetry of the curve.  However, we still need to know how to find the...