document.write( "Question 318686: Please help me solve this equation by finding the quotient: (2x²+x+5)/(x+2) \n" ); document.write( "

Algebra.Com's Answer #228178 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First factor: $\"2x\"$
\n" ); document.write( " $\"2x%28x%2B2%29=2x%5E2%2B4x\"$
\n" ); document.write( "Subtract from the original polynomial to get the remainder,
\n" ); document.write( " $\"%282x%5E2%2Bx%2B5%29-%282x%5E2%2B4x%29=-3x%2B5\"$
\n" ); document.write( "Second factor: $\"-3\"$
\n" ); document.write( " $\"-3%28x%2B2%29=-3x-6\"$
\n" ); document.write( "Subtract from the previous remainder to get the new remainder,
\n" ); document.write( " $\"%28-3x%2B5%29-%28-3x-6%29=11\"$
\n" ); document.write( "No further division is possible.
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\n" ); document.write( "Gather up the factors and the remainder.
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\n" ); document.write( " $\"%282x%5E2%2Bx%2B5%29%2F%28x%2B2%29=2x-3%2B%2811%2F%28x%2B2%29%29\"$
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