SOLUTION: Hi! I need some help factoring this problem out and then simplyfying my answer. x^2+2x-15 --------- x^2-9 ------- x^2+6x+5 --------- x^2+4x+3

Algebra ->  Systems-of-equations -> SOLUTION: Hi! I need some help factoring this problem out and then simplyfying my answer. x^2+2x-15 --------- x^2-9 ------- x^2+6x+5 --------- x^2+4x+3      Log On


   

Question 57470: Hi! I need some help factoring this problem out and then simplyfying my answer.
x^2+2x-15
---------
x^2-9
-------
x^2+6x+5
---------
x^2+4x+3
Found 2 solutions by Nate, rcmcc:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
I hope this is how you wanted it:

~~~~

~~~~

~~~~
%28%28x+%2B+5%29%2F%28x+%2B+3%29%29%28%28x+%2B+3%29%2F%28x+%2B+5%29%29
~~~~
%28%28x+%2B+5%29%28x+%2B+3%29%29%2F%28%28x+%2B+3%29%28x+%2B+5%29%29
~~~~
1

Answer by rcmcc(152) About Me  (Show Source):
You can put this solution on YOUR website!
when factoring you have to find terms that multiply out to get your last number and add to get the middle number, with some thought you can do this in your heard or find out on paper using the X rule or diamond property,
in the first equation -3 and 5 add to 2 and multiply to -15 so (x+5)(x-3) is your answer.
in the next one because there is no common middle term you are multiplying out squares,
so the square route of 9 is 3 so (x+3)(x-3) is your factored answer.
the third and fourth are simply with a term (x+1).
your answers are listed below.
(x+5)(x-3)
(x+3)(x-3)
(x+5)(x+1)
(x+3)(x+1)
these are already simple terms and can not be simplified further.