Question

In the following exercises, factor completely using the perfect square trinomials pattern.

$49s^2+154s+121$

Short answer

The complete factor of the polynomial is ${\left(7s+11\right)}^2$.

Step-by-step solution

Step 1. Given information.

Consider the given polynomial.

$49s^2+154s+121$

Step 2. Formula used

The general formula for pefect square trinomial is

$a^2+2ab+b={\left(a+b\right)}^2$

Step 3. Using the perfect square trinomial to find the complete factor.

$$\begin{gathered} {\left(7s\right)}^2+2·7s·11+{\left(11\right)}^2 \\ {\left(7s+11\right)}^2 \end{gathered}$$