document.write( "Question 1113140: Find q(x) such that 3x^3 - 5x^2 - x + 4 = (3x + 1)q(x) + (10x + 7) \n" ); document.write( "

Algebra.Com's Answer #728319 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"q%28x%29=ax%5E2%2Bbx%2Bc\"$ ,
\n" ); document.write( "So,
\n" ); document.write( " $\"+%283x+%2B+1%29%28ax%5E2%2Bbx%2Bc%29+%2B+%2810x+%2B+7%29=3x%5E3+-+5x%5E2+-+x+%2B+4\"$
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\n" ); document.write( " $\"+3ax%5E3%2B%283b%2Ba%29x%5E2%2B%283c%2B10%29x%2B%28c%2B+7%29=3x%5E3+-+5x%5E2+-+x+%2B+4\"$
\n" ); document.write( "So term by term,
\n" ); document.write( " $\"3ax%5E3=3x%5E3\"$
\n" ); document.write( " $\"3a=3\"$
\n" ); document.write( " $\"a=1\"$
\n" ); document.write( "Next,
\n" ); document.write( " $\"%283b%2Ba%29x%5E2=-5x%5E2\"$
\n" ); document.write( " $\"3b%2B1=-5\"$
\n" ); document.write( " $\"3b=-6\"$
\n" ); document.write( " $\"b=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Continue on to solve for $\"c\"$ similarly.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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