document.write( "Question 190084: Factor each trinomial. 10w^2-19w-15 I can not get this. \n" ); document.write( "

Algebra.Com's Answer #142643 by feliz1965(151) $\"\"$ $\"About$

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Start by multiplying 10 x -15.\r
\n" ); document.write( "\n" ); document.write( "So, 10 x -15 = -150.\r
\n" ); document.write( "\n" ); document.write( "Ask yourself, what two numbers when multiplied together will yield -150 BUT when added will yield -19? Do you see -19 in your trinomial?\r
\n" ); document.write( "\n" ); document.write( "How about -25 times 6?\r
\n" ); document.write( "\n" ); document.write( "Yes, that will work!\r
\n" ); document.write( "\n" ); document.write( "10w^2 - 25w + 6w - 15\r
\n" ); document.write( "\n" ); document.write( "We now make two groups.\r
\n" ); document.write( "\n" ); document.write( "10w^2 - 25w is the first group.\r
\n" ); document.write( "\n" ); document.write( "6w - 15 is the second group.\r
\n" ); document.write( "\n" ); document.write( "Factor each group individually.\r
\n" ); document.write( "\n" ); document.write( "10w^2 - 25w becomes 5w(2w - 5)\r
\n" ); document.write( "\n" ); document.write( "6w - 15 becomes 3(2w - 5)\r
\n" ); document.write( "\n" ); document.write( "Do you see the quantity 2w - 5?\r
\n" ); document.write( "\n" ); document.write( "We only need one of them.\r
\n" ); document.write( "\n" ); document.write( "Final answer: (5w + 3)(2w - 5)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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