## 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 +...

## How to Factorising algebra by grouping in pairs The taking out of common factors is the starting point in all factorisation problems. We know that the factors of 3x + 3 are 3 and (x + 1). Similarly, the factors of 2x2 + 2x are 2x and...

## How to Accounting for Removable Discontinuities

Discontinuities at vertical asymptotes can’t be removed. But rational functions sometimes have removable discontinuities in other places. The removable designation is, however, a bit misleading. The gap in the domain still exists at that “removable” spot, but the function...

## Determining the equations of vertical and horizontal asymptotes vertical asymptotes The equations of vertical asymptotes appear in the form x = h. This equation of a line has only the x variable — no y variable — and the number h. A vertical asymptote occurs in the...