[Part 1: Show all work in simplifying the quantity of three x squared plus three x minus thirty-six, divided by the quantity of x squared minus x minus six Be sure to list restrictions.
[Part 2 : Use complete sentences to explain your process.

Question

[Part 1: Show all work in simplifying  the quantity of three x squared plus three x minus thirty-six, divided by the quantity of x squared minus x minus six Be sure to list restrictions. 
[Part 2 : Use complete sentences to explain your process.

anonymous · Answer

|dw:1375393512123:dw|

ankit042 · Answer

factorize the numerator and proceed!

anonymous · Answer

|dw:1375393683581:dw|

anonymous · Answer

This is where I got stuck

ankit042 · Answer

Factorization of your numerator is not correct. for denominator break it to x^2 -3x+2x -6

anonymous · Answer

How is it wrong ?

anonymous · Answer

I thought that you do 3*-36 is -108 then see what two numbers multiply to this and when added equal to 3

ankit042 · Answer

yes the method you mentioned is correct..now just try splitting -108 in two numbers whose sum equals to 3

anonymous · Answer

12 and -9

ankit042 · Answer

k good now can you proceed?

anonymous · Answer

umm not sure so then I have (x+12)(x-9)

anonymous · Answer

|dw:1375394482631:dw|

ankit042 · Answer

the next step in factorization is 3x^2 +12x -3x -36
3x(x+4)-3(x+4)
(3x-3)(x+4)
3(x-1)(x+4)

ankit042 · Answer

you can try this with denominator to get your answer

anonymous · Answer

wait you used +12x and -3x why not -9x?

ankit042 · Answer

ohh sry my bad replace it with 9x

anonymous · Answer

Oh okay thanks ! After that and factorizing the denominator is that how I end the problem or ?

ankit042 · Answer

I think some terms will cancel out and then you will get your answer

anonymous · Answer

Oh okay great thanks for explaining it!:)

ankit042 · Answer

np :)

anonymous · Answer

the next step in factorization is 3x^2 +12x -3x -36
3x(x+4)-3(x+4)
(3x-3)(x+4)
3(x-1)(x+4)