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Homework Statement
[tex]x^2+4x-2=A(x+2)(x-2)+Bx(x-2)+Cx(x+2)[/tex]
How to find A, B and C?
Homework Equations
Answer is A=1/2, B=-3/4, C=5/4.
The Attempt at a Solution
A+B+C=1
A(2-2)+B(0-2)+C(0+2)=4
A*2*(-2)+B*0*(-2)+C*0*2=-2
A+B+C=1
0A-2B+2C=4
-4A+0B+0C=-2
C=2+B
A=1/2
1/2+B+2+B=1
2B=-3/2
B=-3/4
C=2-3/4=5/4
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