$\"\"$

The equation 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 to $\"\"$ ? Yes, $\"\"$ .

Since all three conditions are satisfied, $\"\"$ is a perfect square trinomial.

The polynomial, $\"\"$ write as $\"\"$ .

$\"\"$

Factor using the pattern.

$\"\"$ . $\"\"$

The factor form of equation is $\"\"$ .

Set the repeated factor equal to zero.

$\"\"$

Add $\"\"$ to each side.

$\"\"$

The value of $\"\"$ .