Question

Identify the greatest common factor (GCF). If needed, when typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. 14x+4xy-18xy^2 The GCF is

Answer 1

The three individual terms are:

`\begin{gathered} 14x \\ 4xy \\ 18xy^2 \end{gathered}`

Let's write the factors,

`\begin{gathered} 14x=2\cdot7\cdot x \\ 4xy=2\cdot2\cdot x\cdot y \\ 18xy^2=2\cdot3\cdot3\cdot x\cdot y\cdot y \end{gathered}`

The common factors are >>>

2 and x

So,

GCF = 2x