document.write( "Question 527005: all asymptotes of
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document.write( "(3x^2-16x-12)/(x+5) \n" );
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Algebra.Com's Answer #348995 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! all asymptotes of \n" ); document.write( "(3x^2-16x-12)/(x+5) \n" ); document.write( "** \n" ); document.write( "When the degree of the numerator is one higher than the degree of the denominator, you will have a slant or oblique asymptote, as in this case. \n" ); document.write( "To find this asymptote, divide the numerator by the denominator. The quotient is the straight line slant asymptote. \n" ); document.write( "By long division: \n" ); document.write( ".............3x-31......................... \n" ); document.write( "...x+5)..3x^2-16x-12............................. \n" ); document.write( "............3x^2+15x......................... \n" ); document.write( ".................... -31x-12.................. \n" ); document.write( ".....................-31x-155................. \n" ); document.write( "...............................143....... \n" ); document.write( "Equation of slant asymptote=3x-31 \n" ); document.write( ".. \n" ); document.write( "Vertical asymptote: \n" ); document.write( "To find vertical asymptotes, set denominator=0 and solve for x \n" ); document.write( "x+5=0 \n" ); document.write( "x=-5 \n" ); document.write( "equation of vertical asymptote: x=-5 \n" ); document.write( " |