SOLUTION
Given the expression
[tex]6x^2-8x[/tex]
Notice that the common factor be tween the terms is 2x
Rewrite the expression using the comon factor:
[tex]\begin{gathered} 6x^2-8x \\ =2x(3x-4) \end{gathered}[/tex]
Hence, the factorized form of the expression is
[tex]2x(3x-4)[/tex]
Consider the next expression
[tex]x^2-2x-24[/tex]
Factorise the function using trinomial
The function can be rewritten as
[tex]x^2+4x-6x-24[/tex]
Factorise the expression by grouping
[tex]\begin{gathered} (x^2+4x)+(-6x-24) \\ =x(x+4)-6(x+4) \\ =(x-6)(x+4) \end{gathered}[/tex]
Therefore the solution is
[tex]x^2-2x-24=(x-6)(x+4)[/tex]
