Question

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)

Answer 1

Dimensions : 3x by 3x + 2

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