SOLUTION: if {x^2-3x-40} divided by {x+5} x^2-3x-40 divided by x+5 x^2-5x -2x-40 -2x- 10 =30 x-2+30 x-30 I keep trying the problem to see were i made my mis

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: if {x^2-3x-40} divided by {x+5} x^2-3x-40 divided by x+5 x^2-5x -2x-40 -2x- 10 =30 x-2+30 x-30 I keep trying the problem to see were i made my mis      Log On


   

Question 266900: if {x^2-3x-40} divided by {x+5}
x^2-3x-40 divided by x+5
x^2-5x
-2x-40
-2x- 10
=30
x-2+30
x-30
I keep trying the problem to see were i made my mistake and i still can't seem to find were the error is?






Found 3 solutions by jim_thompson5910, josmiceli, JBarnum:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2-3x-40%29%2F%28x%2B5%29 Start with the given expression.


%28%28x%2B5%29%2A%28x-8%29%29%2F%28x%2B5%29 Factor x%5E2-3x-40 to get %28x%2B5%29%2A%28x-8%29.


%28%28x%2B5%29%2A%28x-8%29%29%2F%28%28x%2B5%29%29 Factor x%2B5 to get %28x%2B5%29.


%28highlight%28x%2B5%29%28x-8%29%29%2F%28highlight%28x%2B5%29%29 Highlight the common terms.


%28cross%28x%2B5%29%28x-8%29%29%2F%28cross%28x%2B5%29%29 Cancel out the common terms.


x-8 Simplify.


So %28x%5E2-3x-40%29%2F%28x%2B5%29 simplifies to x-8.


In other words, %28x%5E2-3x-40%29%2F%28x%2B5%29=x-8 where x%3C%3E-5

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2+-+3x+-+40%29%2F%28x+%2B+5%29
What do I multiply x+%2B+5 by to get x%5E2+-+3x+-+40?
My first try is x
x%2A%28x+%2B+5%29+=+x%5E2+%2B+5x
subtract this from x%5E2+-+3x+-+40, I get
-8x+-+40
Now what do I add to x to finish the division?
I'll try -8
-8%2A%28x+%2B+5%29+=+-8x+-+40
I'll subtract this from -8x+-+40
I get 0, so the division is finished with no remainder
The answer is x+-+8
To prove it:
%28x+%2B+5%29%2A%28x+-+8%29+=+x%5E2+-+3x+-+40
OK

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2-3x-40%29%2F%28x%2B5%29
%28x%5E2-3x-40%29 is same as %28x%2B5%29%28x-8%29 so:
%28%28x%2B5%29%28x-8%29%29%2F%28x%2B5%29
%28cross%28x%2B5%29%28x-8%29%29%2Fcross%28x%2B5%29
x-8 is the answer