document.write( "Question 88880: Please help me with this problem i am doing an online class and am stuck on this particualar question. I simply do not know what i am suppose to do. Please help. The question says you must \"Divide by using long division\" here is the question (x63+6x^2-x-30) divided by (x-2) \n" ); document.write( "

Algebra.Com's Answer #64579 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%5E3%2B6x%5E2-x-30%29%2F%28x-2%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "This expression also looks like\r
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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

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\n" ); document.write( "\n" ); document.write( "In order to divide this, we need to ask ourselves: \r
\n" ); document.write( "\n" ); document.write( "How many times does $\"x\"$ go into $\"x%5E3+\"$ ?
\n" ); document.write( "It goes in $\"x%5E2\"$ times (ie $\"x%5E3+%2Fx=x%5E2\"$ ). So place $\"x%5E2\"$ over $\"x%5E3+\"$
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$\"x%5E2\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

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\n" ); document.write( "\n" ); document.write( "Now multiply $\"x%5E2\"$ by $\"x+-+2\"$ to get $\"x%5E3+-+2x%5E2\"$ \r
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$\"x%5E2\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

\r
\n" ); document.write( "\n" ); document.write( "Now Subtract $\"x%5E3+-+2x%5E2\"$ from $\"x%5E3%2B6x%5E2-x-30\"$ and bring down -x-30\r
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$\"x%5E2\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

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\n" ); document.write( "\n" ); document.write( "Now how many times does $\"x\"$ go into $\"8x%5E2\"$ ?
\n" ); document.write( "It goes in $\"8x\"$ times (ie $\"8x%5E2+%2Fx+=8x\"$ ). So place $\"8x\"$ over $\"6x%5E2\"$
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$\"x%5E2%2B8x\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

\r
\n" ); document.write( "\n" ); document.write( "Now multiply $\"8x\"$ by $\"x+-+2\"$ to get $\"8x%5E2+-+16x\"$ \r
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$\"x%5E2%2B8x\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

...... $\"8x%5E2+-+16x\"$

\r
\n" ); document.write( "\n" ); document.write( "Now Subtract $\"8x%5E2+-+16x\"$ from $\"8x%5E2+-+x+-+30\"$ \r
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$\"x%5E2%2B8x\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

...... $\"8x%5E2+-+16x\"$

............ $\"15x+-+30\"$

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\n" ); document.write( "\n" ); document.write( "Now how many times does $\"x\"$ go into $\"15x\"$ ?
\n" ); document.write( "It goes in $\"15\"$ times (ie $\"15x+%2Fx+=15\"$ ). So place $\"15\"$ over $\"-x\"$
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$\"x%5E2%2B8x%2B15\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

...... $\"8x%5E2+-+16x\"$

............ $\"15x+-+30\"$

\r
\n" ); document.write( "\n" ); document.write( "Now multiply $\"15\"$ by $\"x+-+2\"$ to get $\"15x+-+30\"$ \r
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$\"x%5E2%2B8x%2B15\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

...... $\"8x%5E2+-+16x\"$

............ $\"15x+-+30\"$

\r
\n" ); document.write( "\n" ); document.write( "Now Subtract $\"15x+-+30\"$ from $\"15x+-+30\"$ \r
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$\"x%5E2%2B8x%2B15\"$

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$\"x-2\"$

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$\"x%5E3%2B6x%5E2-x-30\"$

$\"x%5E3+-+2x%5E2\"$

...... $\"8x%5E2+-+x+-+30\"$

...... $\"8x%5E2+-+16x\"$

............ $\"15x+-+30\"$

.................. $\"%280%29\"$

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\n" ); document.write( "\n" ); document.write( "So we get a remainder of zero. This means $\"x-2\"$ is a factor of $\"x%5E3%2B6x%5E2-x-30\"$
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