Solving quadratic equations using factorisation

A quadratic equation is an equation of the second degree; the exponent of one variable is 2. The following are examples of quadratic equations: A quadratic equation has at most two solutions, also referred to as roots. There are...

Applications of exponentials

There are many real world applications that require exponents. For example, exponentials are used to determine population growth and they are also used in finance to calculate different types of interest. Example 1: A type of bacteria has a...

How to Product of algebra

Mathematical expressions are just like sentences and their parts have special names. You should be familiar with the following words used to describe the parts of mathematical expressions. 3x2 + 7xy – 53 Multiplying a monomial and a binomial...

How to Describing sequences

A sequence is an ordered list of items, usually numbers. Each item which makes up a sequence is called a “term”. Sequences can have interesting patterns. Here we examine some types of patterns and how they are formed. Examples:...

How to Sum and difference of two cubes of algebra

We now look at two special results obtained from multiplying a binomial and a trinomial: Sum of two cubes: ( x + y ) ( x2 – xy + y2 ) = x (x2 – xy + y2 )...

How to Factorising a quadratic trinomial

Factorising is the reverse of calculating the product of factors. In order to factorise a quadratic, we need to find the factors which, when multiplied together, equal the original quadratic. Consider a quadratic expression of the form ax2 +...