How do you factor trinomials and check the binomial factors to see if they are factors of a trinomial?

What mathematical pattern can be seen in a perfect square trinomial?

How is the pattern for a perfect square trinomial used to factor the trinomial?

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in