In front of the school are several gardens in rectangular raised beds. For the area of the rectangular area given, use factoring to find the possible dimensions. Could the garden be square?
x² + 32x + 256

The correct answer is: x + 16, Square

Now we know that an algebraic expression known as a trinomial has three non-zero terms and more than one variable. An example of a trinomial is a polynomial having three terms. It is in the form of ax²+bx+c, for example: 5x⁴ - 4x +1.
We have also been given the trinomial here. The expression is: x² + 32x + 256
Now we can see that 256 is the square of 16, So we can re-write the given expression as:
x² + 32x + 256 = x² + 32x + 16²
Now we can write 32x in 2(x)(y) form, as:
x² + 32x + 256 = x² + 32x + 16² = x² + 2(x)(16) + 16²

Now we can use the formula: a²+2ab+b²=(a+b)²
x² + 32x + 256 = x² + 32x + 16² = x² + 2(x)(16) + 16² = (x + 16)²
The side length is (x + 16) and all the sides are equal in length. So, it is a square.

Here we used the concept of algebriac equations, trinomials and squares to factories the given expression. An expression with variables, constants, and algebraic operations is known as an algebraic expression (like subtraction, addition, multiplication, etc.). Terms comprise expressions. So the side length is (x + 16) and all the sides are equal in length. So, it is a square.