3x - 6 _____ x - 2 ?????????
1 answer:
Answer: The expression given simplifies to: 3 .
_________________________________________________
Explanation:
________________________________________________
Given: (3x - 6) / (x-2) ;
___________________________
Factor the numerator into: 3(x-2).
________________________________
Now, rewrite the expression as:
____________________________
;
________________________________________
The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
_______________________________________________________
and we are left with: "3 ".
________________________________
_________________________________________________
Explanation:
________________________________________________
Given: (3x - 6) / (x-2) ;
___________________________
Factor the numerator into: 3(x-2).
________________________________
Now, rewrite the expression as:
____________________________
________________________________________
The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
_______________________________________________________
and we are left with: "3 ".
________________________________
You might be interested in
Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far: 
. Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides. 
. The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process. 
. Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.