document.write( "Question 330507: Divide (30b^3+13b^2+38b+46)÷(6b+5) \n" ); document.write( "

Algebra.Com's Answer #236982 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%2830b%5E3%2B13b%5E2%2B38b%2B46%29%2F%286b%2B5%29\"$
\n" ); document.write( "First term: $\"5b%5E2\"$
\n" ); document.write( " $\"5b%5E2%286b%2B5%29=30b%5E3%2B25b%5E2\"$
\n" ); document.write( "Subtract that product from the original polynomial to get the remainder,
\n" ); document.write( " $\"%2830b%5E3%2B13b%5E2%2B38b%2B46%29-%2830b%5E3%2B25b%5E2%29=+-12b%5E2%2B38b%2B46\"$
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\n" ); document.write( "Second term: $\"-2b\"$
\n" ); document.write( " $\"-2b%286b%2B5%29=+-12b%5E2-10b\"$
\n" ); document.write( "Subtract that product from the remainder to get the new remainder,
\n" ); document.write( " $\"%28-12b%5E2%2B38b%2B46%29-%28-12b%5E2-10b%29=48b%2B46\"$
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\n" ); document.write( "Third term: $\"8\"$
\n" ); document.write( " $\"8%286b%2B5%29=48b%2B40\"$
\n" ); document.write( "Subtract that product from the remainder to get the new remainder,
\n" ); document.write( " $\"%2848b%2B46%29-%2848b%2B40%29=6\"$
\n" ); document.write( "No further division is possible.
\n" ); document.write( "Gather the terms and the remainder.
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\n" ); document.write( " $\"%2830b%5E3%2B13b%5E2%2B38b%2B46%29%2F%286b%2B5%29=%285b%5E2-2b%2B8%29%2B6%2F%286b%2B5%29\"$ \n" ); document.write( "

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