Question

Which expression below is the result of fully factoring 9x + 18 S and.under

Answer 1

The given expression is

`9x+18`

To factor it, we will find the highest common factor of 9 and 18

Since the factors of 9 are all the numbers multiplying together and giving 9, then

`\begin{gathered} 9*1=9 \\ 3*3=9 \end{gathered}`

The factors of 9 are 1, 3, 9

We will find the factors of 18 by the same way

`\begin{gathered} 1*18=18 \\ 2*9=18 \\ 3*6=18 \end{gathered}`

The factors of 18 are 1, 2, 3, 6, 9, 18

The common factors of 9 and 18 are 1, 3, 9

The greatest one is 9

Then the highest common factor of 9 and 18 is 9

Divide each term in the expression by 9

`\begin{gathered} 9x+18= \\ \\ 9((9x)/(9)+(18)/(9))= \\ \\ 9(x+2) \end{gathered}`

The correct expression is C [9(x + 2)]