document.write( "Question 1085784: Given that f(X)=2/X(X+1)(X+2) express f(X) in partial fractions
\n" ); document.write( "Hense show that s4 3f(X)dx=In (27/25)
\n" ); document.write( "Given that (X+1) and (x-2) are factors of the expression ax2-x2+ bx-a, find the value of the constant a and b .
\n" ); document.write( "Sense, find also the remainder when the expression is divided by (x-4).
\n" ); document.write( " Express as a single fraction 5/x+2-7/2x+3 \n" ); document.write( "

Algebra.Com's Answer #699876 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%2F%28x%28x%2B1%29%28x%2B2%29%29=A%2Fx%2BB%2F%28x%2B1%29%2BC%2F%28x%2B2%29\"$
\n" ); document.write( " $\"2=A%28x%2B1%29%28x%2B2%29%2BBx%28x%2B2%29%2BCx%28x%2B1%29\"$
\n" ); document.write( " $\"2=A%28x%5E2%2B3x%2B2%29%2BBx%5E2%2B2Bx%2BCx%5E2%2BCx\"$
\n" ); document.write( " $\"2=%28A%2BB%2BC%29x%5E2%2B%283A%2B2B%2BC%29x%2B2A\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"2A=2\"$
\n" ); document.write( " $\"A=1\"$
\n" ); document.write( "which leaves
\n" ); document.write( " $\"1%2BB%2BC=0\"$
\n" ); document.write( " $\"3%2B2B%2BC=0\"$
\n" ); document.write( "Subtract the first equation from the second,
\n" ); document.write( " $\"3%2B2B%2BC-1-B-C=0\"$
\n" ); document.write( " $\"2%2BB=0\"$
\n" ); document.write( " $\"B=-2\"$
\n" ); document.write( "and finally,
\n" ); document.write( " $\"1-2%2BC=0\"$
\n" ); document.write( " $\"-1%2BC=0\"$
\n" ); document.write( " $\"C=1\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"2%2F%28x%28x%2B1%29%28x%2B2%29%29=1%2Fx-2%2F%28x%2B1%29%2B1%2F%28x%2B2%29\"$ \n" ); document.write( "

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