The are of a court for the game of squash is (9x2 + 6x) square meters. Factor this polynomial to find possible expressions for the dimensions of the squash court.

(i dont undersatnd this question i have tried solving but my answer ends up not making any sense)

Dimensions : 3x by 3x + 2

Step-by-step explanation:

Let us start with factoring this polynomial expression, as such;

9x^2 + 6x, ⇒ factor out common term 3x,

3x * (3x + 2)

Now if the area of this court is factored to be 3x * (3x + 2), we can determine it's dimensions through the multiplication of length * width;

Area of Court = length * width,

3x * (3x + 2) = length * width,

3x * (3x + 2) = 3x ⇒ (length) * 3x + 2 ⇒ (width),

Length ⇒ 3x, and Width ⇒ 3x + 2 (or vice versa),

Width ⇒ 3x, and Length ⇒ 3x + 2

Dimensions : 3x by 3x + 2