Question

Factor:$xy+8y+3x+24$.

Short answer

The required factor are$\left(x+8\right)\left(y+3\right)$.

Step-by-step solution

Step 1. Given information.

The given polynomial is:

$xy+8y+3x+24$

Step 2. Find the GCF and the factor. 

There is no GCF in all four terms. Therefore, separate into two parts.

$$\begin{gathered} xy+8y+3x+24 \\ xy+3x+8y+24 \end{gathered}$$

Factor the GCF from both parts,

$x\left(y+3\right)+8\left(y+3\right)$

Factor the common factor from the expression,

$\left(x+8\right)\left(y+3\right)$