Answer:
[tex]2x(x-4)(x+3)[/tex].
Step-by-step explanation:
1. Write the expression.
[tex]2x^{3} -2x^{2} -24x[/tex]
2. Divide all terms by a common term.
A common term is a term that can divide all the terms without leaving a denominator or a residue.
[tex]\frac{2x^{3}}{2x} -\frac{2x^{2} }{2x} -\frac{24x}{2x}[/tex]
3. Rewrite.
[tex]2x(x^{2} -x-12)[/tex]
4. Find 2 values that summed up equal -1 and multiplied equal -12.
This is because the coefficient of x is -1 and the coefficient of -12 is itself, -12.
-4 and 3 are two values that meet these requirements.
Note. This method doesn't always work for factorizing an expression, you may need to refer to other methods to solve these problems. A different method would be finding a solution for the quadratic formula throgh the quadratic formula. You may research a little more about this topic and how to use the quadratic formula on the internet.
5. Take the value we divided by on step 2 and type the found values in the following fashion.
[tex]2x(x-4)(x+3)[/tex]
6. Express a result.
[tex]2x(x-4)(x+3)[/tex]
