document.write( "Question 742446: What are the zeros of x^4-2x^3-23x^2-2x-24 \n" ); document.write( "

Algebra.Com's Answer #452466 by MathLover1(20849) $\"\"$ $\"About$

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$\"x%5E4-2x%5E3-23x%5E2-2x-24=0\"$ write $\"-2x%5E3\"$ as $\"4x%5E3-6x%5E3\"$ ,
\n" ); document.write( " $\"-23x%5E2\"$ as $\"%2Bx%5E2-24x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E4%2Bx%5E2%2B4x%5E3%2B4x-6x%5E3-6x-24x%5E2-24=0\"$ .....group\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E4%2Bx%5E2%29%2B%284x%5E3%2B4x%29-%286x%5E3%2B6x%29-%2824x%5E2%2B24%29=0\"$ .factor\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%28x%5E2%2B1%29%2B4x%28x%5E2%2B1%29-6x%286x%5E2%2B1%29-24%28x%5E2%2B1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2B4x-6x-24%29%28x%5E2%2B1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-6%29%28x%2B4%29%28x%5E2%2B1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"x-6=0\"$ => $\"x=6\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x%2B4=0\"$ => $\"x=-4\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x%5E2%2B1=0\"$ => $\"x%5E2=-1\"$ => $\"x=sqrt%28-1%29\"$ => $\"x=i\"$ or $\"x=-i\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-300%2C+50%2C+x%5E4-2x%5E3-23x%5E2-2x-24%29+\"$ \r
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