Question

Help Factorize each the following expressions using the most suitable method The methods are HCF , DOTS and Trinimials method

Answer 1

Given the expression

`6x^2-8x`

Notice that the common factor be tween the terms is 2x

Rewrite the expression using the comon factor:

`\begin{gathered} 6x^2-8x \\ =2x(3x-4) \end{gathered}`

Hence, the factorized form of the expression is

`2x(3x-4)`

Consider the next expression

`x^2-2x-24`

Factorise the function using trinomial

The function can be rewritten as

`x^2+4x-6x-24`

Factorise the expression by grouping

`\begin{gathered} (x^2+4x)+(-6x-24) \\ =x(x+4)-6(x+4) \\ =(x-6)(x+4) \end{gathered}`

Therefore the solution is

`x^2-2x-24=(x-6)(x+4)`