You may want to review factoring polynomials first.

It's helpful to be able to recognize when a polynomial is a square. There are three conditions to check:

- The
*x*^{2}term must be a square. - The constant (or
*y*^{2}, if there's a*y*too) term must*also*be a square. - If you take the square roots of those two terms and multiply them together, you get the other term.

For example, consider 4*x*^{2} + 6*x* + 9. We
see that 4*x*^{2} is the square of 2*x* and 9 is
the square of 3. Now, we multiply 2*x* by 3 and get
6*x*, the same as the other term, so it's a square. In
particular, it's the square of 2*x* + 3.

If the *x*^{2} term or the constant term were
negative, then it wouldn't be a square. But that's not true of the
other term. In fact, 4*x*^{2} − 6*x* +
9 *is* a square; it's the square of 2*x* −
3.

Not all the polynomials I ask you to factor in this section are actually squares. Some of them have GCDs. You need to factor them out first. There's a spot for you to write the factor that should be squared and a another spot for you to write the GCD which shouldn't be. Don't confuse the two!