Answer:(2x - 5)(3x + 1)
Step-by-step explanation:
6x^2 - 13x - 5
6x^2 + 2x - 15x - 5
2x (3x + 1) - 5 (3x + 1)
(2x - 5)(3x + 1)
You can either make a table using any numbers you would like (I would suggest -5 to 5) and then graphing the rule
ex. (7/2)(-5)-2 = -19.5 (I multiplied (7/2) by -5 and then subtracted 2)
Or you can put the rule in a graphing calculator and check the points from there
Step-by-step explanation:
We have got the lines :

Both lines intercept the x-axis in the point :

In all point from x-axis the y-component is equal to 0.

We replace the I point in the lines equations:

From the first equation :

From the second equation :

Then 
Finally :

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc