document.write( "Question 18515: FIND THE GREATES COMMON FACTOR OF P AND Q. THEN DIVIDE THE COMMON FACTOR SO THAT THE LEADING COEFFICIENT IS P(X)=X4+2X^3+6X^2+8X+8 Q(X)=X^4+2X^3+8X^2+8X+16 THE GREATEST COMMON FACTOR IS ____ (P(X))/(Q(X))=(____)/(____) \n" ); document.write( "

Algebra.Com's Answer #8874 by khwang(438) $\"\"$ $\"About$

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Factor
\n" ); document.write( " $\"+P%28X%29=X%5E4%2B2X%5E3%2B6X%5E2%2B8X%2B8+\"$
\n" ); document.write( " = $\"X%5E4+%2B+4X%5E2%2B+2X%5E3+%2B+2x%5E2+%2B+8x+%2B+8\"$
\n" ); document.write( " = $\"X%5E2%28X%5E2+%2B+4%29+%2B+2x%5E2%28x%2B1%29+%2B+8%28x%2B1%29\"$
\n" ); document.write( " = $\"X%5E2%28X%5E2+%2B+4%29+%2B+2%28x%2B1%29+%28x%5E2%2B4%29\"$
\n" ); document.write( " = $\"%28X%5E2+%2B+4%29%28X%5E2+%2B+2X+%2B2%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " Similarly,
\n" ); document.write( " $\"+Q%28X%29=X%5E4%2B2X%5E3%2B8X%5E2%2B8X%2B16+\"$
\n" ); document.write( " = $\"X%5E4+%2B+4X%5E2%2B+2X%5E3+%2B+4x%5E2+%2B+8x+%2B+16\"$
\n" ); document.write( " = $\"X%5E2%28X%5E2+%2B+4%29+%2B+2x%5E2%28x%2B2%29+%2B+8%28x%2B2%29\"$
\n" ); document.write( " = $\"X%5E2%28X%5E2+%2B+4%29+%2B+2%28x%2B2%29+%28x%5E2%2B4%29\"$
\n" ); document.write( " = $\"%28X%5E2+%2B+4%29%28X%5E2+%2B+2X+%2B+4%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " so
\n" ); document.write( " THE GREATEST COMMON FACTOR IS $\"+X%5E2+%2B+4\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " (P(X))/(Q(X))= (____)/(____) ...for you\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Kenny
\n" ); document.write( " \n" ); document.write( "

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