document.write( "Question 1129057: Use synthetic division to find the quotient and the remainder.
\n" ); document.write( "(3x^4-2x^2+2)/(x-1/4) \n" ); document.write( "

Algebra.Com's Answer #745656 by MathLover1(20850) $\"\"$ $\"About$

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$\"%283x%5E4-2x%5E2%2B2%29%2F%28x-1%2F4%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "write down the coefficients of the polynomial and put the zero from $\"x-1%2F4=0\"$ ( $\"x=1%2F4\"$ ) at the left\r
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\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0+\"$ −−−−−− $\"-2\"$ −−−−−− $\"+0\"$ −−−−−− $\"+2\"$ \r
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\n" ); document.write( "\n" ); document.write( "bring down the leading coefficient to the bottom row.\r
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\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0+\"$ −−−−−− $\"-2\"$ −−−−−− $\"+0\"$ −−−−−− $\"+2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ \r
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\n" ); document.write( "\n" ); document.write( "multiply by the number on the left, and carry the result into the next column: $\"%281%2F4%293=3%2F4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0+\"$ −−−−−− $\"+-2\"$ −−−−−− $\"+0+\"$ −−−−−− $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ \r
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\n" ); document.write( "\n" ); document.write( "add down the column: $\"0%2B3%2F4=3%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"0\"$ −−−−−− $\"-2+\"$ −−−−−− $\"+0\"$ −−−−−− $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−−3−−−−−−− $\"3%2F4\"$ \r
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\n" ); document.write( "\n" ); document.write( "multiply by the number on the left, and carry the result into the next column: $\"%281%2F4%29%283%2F4%29=3%2F16\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0\"$ −−−−−− $\"++-2\"$ −−−−−− $\"+++0\"$ −−−−−− $\"+2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−− $\"3%2F16\"$ −−−−−−−−−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−−3−−−−−−− $\"3%2F4\"$ \r
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\n" ); document.write( "\n" ); document.write( "add down the column: $\"-2%2B3%2F16=-29%2F16\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0\"$ −−−−−− $\"++-2\"$ −−−−−− $\"++0+\"$ −−−−−− $\"+2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−− $\"3%2F16\"$ −−−−−−−−−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ −−−−−−− $\"3%2F4\"$ −−−−−−−−−.. $\"-29%2F16\"$ \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "multiply by the number on the left, and carry the result into the next column: $\"+%281%2F4%29%28-29%2F16%29=-29%2F64\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0\"$ −−−−−− $\"+-2\"$ −−−−−− $\"++0\"$ −−−−−− $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−− $\"3%2F16\"$ −−−−−.. $\"-29%2F64\"$ −−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ −−−−−−− $\"3%2F4\"$ −−−−−−−−−.. $\"-29%2F16\"$ \r
\n" ); document.write( "\n" ); document.write( "add down the column: $\"0%2B%28-29%2F64%29=-29%2F64\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0\"$ −−−−−− $\"+-2\"$ −−−−−− $\"+0\"$ −−−−−− $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−− $\"3%2F16\"$ −−−−−.. $\"-29%2F64\"$ −−−−−−−−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ −−−−−−− $\"3%2F4\"$ −−−−−−−−−.. $\"-29%2F16\"$ −−−.. $\"-29%2F64\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "multiply by the number on the left, and carry the result into the next column: $\"%281%2F4%29%28-29%2F64%29=-29%2F256\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0\"$ −−−−−− $\"++-2\"$ −−−−−− $\"+0\"$ −−−−−− $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−− $\"3%2F16\"$ −−−−−.. $\"-29%2F64\"$ −−−−− $\"29%2F256\"$ −−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ −−−−−−− $\"3%2F4\"$ −−−−−−−−−.. $\"-29%2F16\"$ −−−.. $\"-29%2F64\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add down the column: $\"+2%2B%28-29%2F256%29=483%2F256\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F4\"$ || $\"3\"$ −−−−−− $\"+0\"$ −−−−−− $\"++-2\"$ −−−−−− $\"+0+\"$ −−−−−− $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "−−−−−−−−−−−− $\"3%2F4\"$ −−−−−−−−−− $\"3%2F16\"$ −−−−−.. $\"-29%2F64\"$ −−−−− $\"29%2F256\"$ −−−−−−−−−−−
\n" ); document.write( "−−−− $\"3\"$ −−−−−−− $\"3%2F4\"$ −−−−−−−−−.. $\"-29%2F16\"$ −−−.. $\"-29%2F64\"$ −−−−− $\"483%2F256\"$ \r
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