Question

Factor:$-9y-27$.

Short answer

The required factor is$-9\left(y+3\right)$.

Step-by-step solution

Step 1. Given information.

The given polynomial is:

$-9y-27$

Step 2. Find the GCF.

Find the GCF of $9y\mathrm{and}27$,

$$\begin{gathered} 9y=3·3·y \\ 27=3·3·3 \end{gathered}$$

GCF is:

$$\begin{gathered} =3·3 \\ =9 \end{gathered}$$

Since the leading coefficient is negative, the GCF is negative,$-9$.

Step 3. Find the factor.

Rewrite each term as a product using the GCF,

$-9·y+\left(-9\right)·3$

Factor the GCF,

$-9\left(y+3\right)$