document.write( "Question 950724: express as partial fractions -
\n" ); document.write( "3x^3-x^2-13x-13 / x^2-x-6 \n" ); document.write( "

Algebra.Com's Answer #580569 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Dividing first,
\n" ); document.write( " $\"%283x%5E3-x%5E2-13x-13%29+%2F+%28x%5E2-x-6%29=%283x%2B2%29%2B%287x-1%29%2F%28x%5E2-x-6%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"%287x-1%29%2F%28%28x-3%29%28x%2B2%29%29=A%2F%28x-3%29%2BB%2F%28x%2B2%29\"$
\n" ); document.write( " $\"7x-1=A%28x%2B2%29%2BB%28x-3%29\"$
\n" ); document.write( " $\"7x-1=%28A%2BB%29x%2B%282A-3B%29\"$
\n" ); document.write( "which leads to,
\n" ); document.write( " $\"A%2BB=7\"$
\n" ); document.write( " $\"2A-3B=-1\"$
\n" ); document.write( "Multiply the first by 2 and subtract from the second to eliminate $\"A\"$ ,
\n" ); document.write( " $\"2A-3B-2A-2B=-1-14\"$
\n" ); document.write( " $\"-5B=-15\"$
\n" ); document.write( " $\"B=3\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"A%2B3=7\"$
\n" ); document.write( " $\"A=4\"$
\n" ); document.write( "So finally,
\n" ); document.write( " $\"%283x%5E3-x%5E2-13x-13%29+%2F+%28x%5E2-x-6%29=%283x%2B2%29%2B4%2F%28x-3%29%2B3%2F%28x%2B2%29\"$
\n" ); document.write( " \n" ); document.write( "

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