document.write( "Question 1000452: Use long division to find the quotient and remainder when
\n" ); document.write( "f(x)=x^4+5x^3+8x^2+3x−4
\n" ); document.write( "is divided by
\n" ); document.write( "g(x)=x2−8x+9. \n" ); document.write( "

Algebra.Com's Answer #617908 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E4%2B5x%5E3%2B8x%5E2%2B3x-4\"$ is divided by $\"g%28x%29=x%5E2-8x%2B9\"$
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\n" ); document.write( "---------------( $\"x%5E2%2B13x%2B103\"$
\n" ); document.write( "( $\"x%5E2-8x%2B9\"$ )| $\"x%5E4%2B5x%5E3%2B8x%5E2%2B3x-4\"$
\n" ); document.write( "-------------- $\"x%5E4-8x%5E3%2B9x%5E2\"$ ................subtract
\n" ); document.write( "--------------- $\"0%2B13x%5E3-x%5E2\"$ ...............add next term from above: $\"3x\"$
\n" ); document.write( "----------------- $\"13x%5E3-x%5E2%2B3x\"$
\n" ); document.write( "----------------- $\"13x%5E3-104x%5E2%2B117x\"$ ................subtract
\n" ); document.write( "------------------------- $\"103x%5E2-114x\"$ ...........add next term $\"-4\"$
\n" ); document.write( "------------------------- $\"103x%5E2-114x+-4\"$
\n" ); document.write( "------------------------- $\"103x%5E2-824x%2B927\"$ ................subtract
\n" ); document.write( "-----------------------------.... $\"710x-931\"$ =>reminder\r
\n" ); document.write( "\n" ); document.write( "so, you have:\r
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