After looking at the intersection between a parabola and a line in our previous tutorial, let’s now look at how we can find a solution to a system of two parabolas. Such a system has a solution if and only if they meet at one or more points. One solution suggests that the two parabolas are tangential to one another.

The quadratic formula simplifies the solution of quadratic equation problems. If you equate a trinomial (polynomial with three terms) to zero, you get a quadratic equation. It takes the form $$a x^{2}+b x+c=0$$

An absolute value of any number is its distances from the origin to either side of the number line. That is, an absolute value can take negative or positive values.

Circles and squares are basic shapes that we interact within our everyday lives. Most of the objects have these shapes. The knowledge of their areas and perimeters is key in making such objects. Think of your ventilation holes on the wall as an example. What of those circular windows? In this tutorial, we will shift our focus to squares and circles. You check on other shapes from our previous tutorials.

Exponent Arithmetic is like any game that has rules. If you play by the rules, you never get into trouble with the referee. Your work is to master the rules of exponents through continuous practice. Everything will be easy when you know these rules. Exponent Arithmetic involves working with the bases and the exponents. The representation of exponents is $$a^{n}$$ where a is the base and n the exponent. To understand this topic, we will first state all the rules and then wrap it up with solved examples to show how the rules work.

Any object occupies space, area. If an object is triangular, it will occupy a triangular space on the surface it rests. This tutorial will uncover four different ways of calculating area of triangles. That will depend on the measurements that you have.

A curve that is symmetrical with regards to a line of symmetry and its focal point lies on that line is a parabola. To make the definition very clear, we need to understand each technical term in it. Focus – This is a fixed point on a line of symmetry where any reflection from the parabola curve converges. Directrix – This is a straight line on the opposite side of the parabolic curve, a certain distance from the vertex.

This tutorial assumes that you are through with lessons on factoring quadratic equations and solving quadratic equations. A quadratic inequality is just like a quadratic equation where the inequality sign replaces the equal sign. As such, the solution of quadratic inequalities follows the same method for solving any quadratic equation

Algebraic fractions are easy to simplify just like fractions involving real numbers. The simplification process is even shorter when the complex fractions have a common denominator. In such a case, we only need to remove the denominator by multiplying both top and bottom by it. The remaining step is just simplification.

If a polynomial has only three terms, then we call it a trinomial. In this course, we are going to discuss trinomials with an exponent of 2. In other words, we will only look at quadratic trinomials.