Question

a square has an area of 9x^2+12x+4, find the length of one side.

Answer 1

Try to factor the polynomial. This works because the area is the product of the two sides.

Answer 2

area of a square = length x width
for a square length = width
so area of sqaure = (length)^2
so:
(Length)^2=9x^2+12x+4

solve for length

Answer 3

Your area IS a square.

Answer 4

point is that
\[9x^2+12x+4\] is itself a "perfect square" it is the square of
\[3x+2\]