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,
.
2. Is the middle term equal to
? Yes,
.
Since all three conditions are satisfied.
\Therefore, the polynomial
is a perfect square trinomial.
Difference of the square form is
.
(Write as difference of the square form)
(Factors using the pattern)
The factored form is
.
yes, the factored form is
.