Question

Factor completely:

$xy-8y+7x-56$.

Short answer

The factored polynomial is,

$(y+7)(x-8)$.

Step-by-step solution

Step 1. Given the information.

The polynomial function is,

$xy-8y+7x-56$.

Step 2. Factoring the polynomial.

$xy-8y+7x-56$

$=(xy-8y)+(7x-56)$

Taking out the common factors,

role="math" localid="1644778756175" $$\begin{gathered} =y(x-8)+7(x-8) \\ =(y+7)(x-8) \end{gathered}$$.

Step 3. Checking the solution.

$(y+7)(x-8)$

Multiplying the brackets,

$$\begin{gathered} =y(x-8)+7(x-8) \\ =xy-8y+7x-56 \end{gathered}$$