The polynomial is .
The GCF of is 1, so factor it out.
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? No,
\2. Is the last term a perfect square? No,
\Since the all terms are does not satisfy the required condition,
\ is not a perfect square trinomial.
(Apply distributive property:
)
(Apply distributive property:
)
(Apply distributive property:
)
Notice that the factor is the difference of squares.
(Write
in
)
Factor of difference of squares:
.
The factor of is
.