The polynomial is
.
For a trinomial to be factorable as a perfect square, the first and last terms must be perfect squares and the middle term must be two times the square roots of the first and last terms.
\ 1. Is the first term a perfect square? Yes,
.
2. Is the last term a perfect square? Yes,
.
3. Is the middle term equal to
? Yes,
.
Since all three conditions are satisfied.
\Perfect square trinomial formula:
.
(Write as perfect square trinomial form)
(Factors using the pattern)
Therefore, the perfect square form is
.
The perfect square form is
.