namburger
Noob Member
- Joined
- Apr 29, 2007
- Messages
- 227
- Gender
- Male
- HSC
- 2008
( x^2 + x + 2 ) / x(x+1)
My working out:
( x^2 + x + 2 ) / x(x+1) = A / x + B / (x+1)
x^2 + x + 2 = A (x+1) + Bx
Let x = -1
2 = -B
B = -2
Let x = 0
A = 2
Therfore
( x^2 + x + 2 ) / x(x+1) = 2 / x - 2 / (x+1)
However the answer says it is 1 + 2 / x - 2 / (x+1)
I found out the correct method to do this is long divide it first, and you should get the correct answer. Why do we need to divide for? What did i do wrong in my Working out
My working out:
( x^2 + x + 2 ) / x(x+1) = A / x + B / (x+1)
x^2 + x + 2 = A (x+1) + Bx
Let x = -1
2 = -B
B = -2
Let x = 0
A = 2
Therfore
( x^2 + x + 2 ) / x(x+1) = 2 / x - 2 / (x+1)
However the answer says it is 1 + 2 / x - 2 / (x+1)
I found out the correct method to do this is long divide it first, and you should get the correct answer. Why do we need to divide for? What did i do wrong in my Working out