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partial fraction decomposition; use the partical fraction decomposition to \"decompose\" the following functions:
\n" ); document.write( "1) (x-8)/(x^2-3x-28)...FIRST FACTORISE THE D.R..
\n" ); document.write( "X^2-7X+4X-28=X(X-7)+4(X-7)=(X-7)(X+4)...HENCE LET
\n" ); document.write( "{(X-8)/(X-7)(X+4} = {A/(X-7)}+{B/(X+4)}={A(X+4)+B(X-7)}/(X-7)(X+4)..HENCE
\n" ); document.write( "X-8 = A(X+4)+B(X-7)....PUT X=-4 TO FIND B AND X=7 TO FIND A
\n" ); document.write( "X=-4.......-4-8=A*0+B(-4-7)=-11B....B=12/11
\n" ); document.write( "X=7.......7-8=A(7+4)+B*0=11A........A=-1/11
\n" ); document.write( "HENCE WE GET
\n" ); document.write( "(x-8)/(x^2-3x-28) = {-1/11(X-7)}+{12/11(X+4)}\r
\n" ); document.write( "\n" ); document.write( "2) (-x)/(x^2+3x+2)..PROCEEDING AS ABOVE
\n" ); document.write( "X^2+2X+X+2=X(X+2)+1(X+2)=(X+1)(X+2)
\n" ); document.write( "{-X/(X+1)(X+2)}= {A/(X+1)}+{B/(X+2)}
\n" ); document.write( "-X=A(X+2)+B(X+1)
\n" ); document.write( "PUT X=-1.......1=A(-1+2)+B*0=A.......A=1
\n" ); document.write( "PUT X=-2.......2=A*0+B(-2+1)=-B......B=-2
\n" ); document.write( "HENCE WE GET
\n" ); document.write( "(-x)/(x^2+3x+2)={1/(X+1)}-{2/(X+2)} \n" ); document.write( "