document.write( "Question 134831: Tutor how do I factor 3y^2-14y-24 do I have to find out what y is first? Thank you. \n" ); document.write( "
Algebra.Com's Answer #98668 by stanbon(75887)\"\" \"About 
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factor 3y^2-14y-24
\n" ); document.write( "Use the AC Method:
\n" ); document.write( "AC = 3*-24 = -72
\n" ); document.write( "B = -14
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\n" ); document.write( "Think of two numbers whose sum is -72 and whose product is -14
\n" ); document.write( "The numbers are -18 and +4
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\n" ); document.write( "Rewrite the original problem putting -18y+4y in place of -14y:\r
\n" ); document.write( "\n" ); document.write( "= 3y^2-18y+4y-24\r
\n" ); document.write( "\n" ); document.write( "Factor the 1st two and the last two terms separately:\r
\n" ); document.write( "\n" ); document.write( "= 3y(y-6)+4(y-6)\r
\n" ); document.write( "\n" ); document.write( "Factor again:\r
\n" ); document.write( "\n" ); document.write( "= (y-6)(3y+4)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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