# What is the greatest common monomial factor of #2k^3 + 6k^2 - 14k#?

##### 1 Answer

The answer is

To begin with this problem, let's consider the context of what the problem is asking. It wants us to find the common *monomial* factor of the quadratic. What this means is how can it be factored out into an expression that still acts as the original function, but in a way it can be done much easier in simplification.

In each term, we notice that

In numerical steps:

which then becomes

This is really useful when you are dividing/multiplying expressions; by doing these kinds of factors, you can make equations/answers much simpler if they can be. Here is a good video on factoring quadratic equations and simplification from Mark Lehain: