document.write( "Question 1084540: 2x^3+x^2-61x+30=0 \n" ); document.write( "

Algebra.Com's Answer #698677 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E3%2Bx%5E2-61x%2B30=0\"$ .... factor first; write $\"x%5E2\"$ as $\"-10x%5E2-x%5E2%2B12x%5E2\"$ and $\"-61x\"$ as $\"5x-60x-6x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E3-10x%5E2+-x%5E2%2B5x%2B12x%5E2-60x-6x%2B30+=+0\"$ ........group\r
\n" ); document.write( "\n" ); document.write( " $\"%282x%5E3-10x%5E2%29+-%28x%5E2-5x%29%2B%2812x%5E2-60x%29-%286x-30%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2%28x-5%29+-+x%28x-5%29%2B12x%28x-5%29-6%28x-5%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x+-+5%29%282x%5E2+-x%2B12x-6%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x+-+5%29%28%282x%5E2+-x%29%2B%2812x-6%29%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x+-+5%29%28x%282x+-1%29%2B6%282x-1%29%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x+-+5%29+%28x+%2B+6%29+%282x+-+1%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "roots:\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x+-+5%29+=+0\"$ -> $\"x=5\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+%28x+%2B+6%29++=+0\"$ -> $\"x=-6\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+%282x+-+1%29+=+0\"$ -> $\"2x=1\"$ -> $\"x=1%2F2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-100%2C+150%2C2x%5E3%2Bx%5E2-61x%2B30%29+\"$ \r
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