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

Now there should be at least two points that are on a x axis and y axis line that meet. If not It has to be important that the points are on a point that where the lines meet. You can pick them but they have to be the meeting points of two lines If there’s two points just stick with them. Now what you do is go to a point and count every square you move up or down till you are parallel to the point. Don’t count the line it’s on I do that sometimes. That is the Y. now in the same spot count all the squares you pass till you get to the second point. That’s the X. Now if you draw and connect the path you made it should like somewhat like a triangle. Now the X and Y you got make it a fraction like this y/x. If the slope is positive the slope should be positive if it is negative put a negative sign in front the slope. Now to use the slope and prove you were right is look at the fraction. If you counted 6 going up or down to be parallel with the second point and 5 to go to the second point, it should look like this 6/5 and go to the second point and go up 6 across 5 and it should be right if it’s negative then go down 6 over 5. If the slope is 2, realize 2 is the same as 2/1 so go up 2 over 1.