Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Step  1  :

            x2 + 7x - 5
 Simplify   ———————————
               x - 2   

Trying to factor by splitting the middle term

 1.1     Factoring  x² + 7x - 5 

The first term is,  x²  its coefficient is  1 .
The middle term is,  +7x  its coefficient is  7 .
The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -5 = -5 

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   7 .

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Polynomial Long Division :

 1.2    Polynomial Long Division
Dividing :  x²+7x-5 
                              ("Dividend")
By         :    x-2    ("Divisor")

Quotient :  x+9 
Remainder :  13 

Final result :

  x2 + 7x - 5
  ———————————
     x - 2