Question

Factor the following polynomial using factor patterns Show all steps

Answer 1

The Solution:

Given the expression below:

`2j^2-24r-4j+12jr`

We are required to factorize the given expression.

Step 1:

We shall rearrange the terms in the given expression as below:

`2j^2-4j+12jr-24r`

Step 2:

We shall factorize the above expression.

`2j(j-2)+12r(j-2)`
`\begin{gathered} (2j+12r)(j-2) \\ 2(j+6r)(j-2) \end{gathered}`

Therefore, the correct answer is

`2(j+6r)(j-2)`