document.write( "Question 105099: Factor the polynomial completely\r
\n" ); document.write( "\n" ); document.write( "12b^3-86b^2+14b\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help! \n" ); document.write( "

Algebra.Com's Answer #76465 by HyperBrain(694) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"12b%5E3-86b%5E2%2B14b=2b%286b%5E2-43b%2B7%29\"$ \r
\n" ); document.write( "\n" ); document.write( "To factor $\"6b%5E2-43b%2B7\"$ , first, read my lesson entitled,\"Factoring trinomials: SHORTCUT!!!\" then go back to this page.\r
\n" ); document.write( "\n" ); document.write( "By the quadratic formula,\r
\n" ); document.write( "\n" ); document.write( " $\"b=%2843%2B-sqrt%2843%5E2-4%2A6%2A7%29%29%2F%282%2A6%29\"$
\n" ); document.write( " $\"b=%2843%2B-sqrt%281849-168%29%29%2F%2812%29\"$
\n" ); document.write( " $\"b=%2843%2Bsqrt%281681%29%29%2F%2812%29\"$ or $\"b=%2843-sqrt%281681%29%29%2F%2812%29\"$
\n" ); document.write( " $\"b=%2843%2B41%29%2F%2812%29\"$ or $\"b=%2843-41%29%2F%2812%29\"$
\n" ); document.write( " $\"b=84%2F12\"$ or $\"b=2%2F12\"$
\n" ); document.write( " $\"b=7\"$ or $\"b=1%2F6\"$ \r
\n" ); document.write( "\n" ); document.write( "If $\"b=7\"$ ,
\n" ); document.write( " $\"b-7=0\"$
\n" ); document.write( "If $\"b=1%2F6\"$ ,
\n" ); document.write( " $\"6b-1=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Thus,
\n" ); document.write( " $\"6b%5E2-43b%2B7=%28b-7%29%286b-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "And therefore,
\n" ); document.write( " $\"12b%5E3-86b%5E2%2B14b=2b%28b-7%29%286b-1%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain! \n" ); document.write( "

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