SOLUTION: Could you please show me how to factor the following polynomial? I need to know this to solve a rational expression: x2+2x-5 Also, I can't seem to be able to solve the follow

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could you please show me how to factor the following polynomial? I need to know this to solve a rational expression: x2+2x-5 Also, I can't seem to be able to solve the follow      Log On


   

Question 141073: Could you please show me how to factor the following polynomial? I need to know this to solve a rational expression:
x2+2x-5
Also, I can't seem to be able to solve the following problem, which it's part of the same lesson:
x+y over x2+2xy+y2 plus 3x over x-y minus 2x+3y over x+y

Thanks so much for your help,
Carlos
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Factor x%5E2%2B2x-5+
For simpler functions, you can factor them without using the quadratic equation.
This is not one of those simple one. So use the quadratic equation to find the 2 values for x
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-2b+%2B-+sqrt%282b%5E2-4%2A5%2A1+%29%29%2F%282%2A1%29+
You solve for both values of x, then the factored form is (x + value1)(x+value2)

Given:%28x%2By%29%2F%28x%5E2%2B2xy%2By%5E2%29+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+
%28x%2By%29%2F%28x+%2B+y%29%5E2+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+
1%2F%28x+%2B+y%29+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+
3x%2F%28x-y%29+-+%282x%2B3y-1%29%2F%28x%2By%29+
Now find a common denominator
%28%283x%29%28x%2By%29+-+%282x%2B3y-1%29%28x-y%29%29%2F%28%28x%2By%29%28x-y%29%29+
%28%283x%29%28x%2By%29+-+%282x%2B3y-1%29%28x-y%29%29%2F%28x%5E2-y%5E2%29+
Now expand he terms in the numerator using distribution. Then collect like terms and simplify if you can.
The rest is left for you