document.write( "Question 165482: Use FOIL to multiply:
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document.write( "(3x – 8)(x – 7)
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Algebra.Com's Answer #121965 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Edwin's solution:\r \n" ); document.write( "\n" ); document.write( "Use FOIL to multiply: \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(3x – 8)(x – 7)\r\n" ); document.write( "\r\n" ); document.write( "You can make four pairs out of that:\r\n" ); document.write( "\r\n" ); document.write( "The F in \"FOIL\" stands for \"FIRSTS\"\r\n" ); document.write( "The red ones below are the Firsts\r\n" ); document.write( "\r\n" ); document.write( "(3x – 8)(x – 7)\r\n" ); document.write( "\r\n" ); document.write( "That's because the 3x comes FIRST in the (3x - 8)\r\n" ); document.write( "and x comes first in (x - 7)\r\n" ); document.write( "\r\n" ); document.write( "So when we multiply the FIRSTS we get (3x)(x) or 3x2\r\n" ); document.write( "\r\n" ); document.write( "-----------------\r\n" ); document.write( "\r\n" ); document.write( "The O in \"FOIL\" stands for \"OUTERS\"\r\n" ); document.write( "The red ones below are the Outers:\r\n" ); document.write( "\r\n" ); document.write( "(3x – 8)(x – 7)\r\n" ); document.write( "\r\n" ); document.write( "That's because the 3x is on the extreme left and\r\n" ); document.write( "-7 is on the extreme right. So they are said to\r\n" ); document.write( "be on the outside.\r\n" ); document.write( "\r\n" ); document.write( "So when we multiply the OUTERS we get (3x)(-7) or -21x.\r\n" ); document.write( "\r\n" ); document.write( "-----------------\r\n" ); document.write( " \r\n" ); document.write( "The I in \"FOIL\" stands for \"INNERS\"\r\n" ); document.write( "The red ones below are the INNERS:\r\n" ); document.write( "\r\n" ); document.write( "(3x – 8)(x – 7)\r\n" ); document.write( "\r\n" ); document.write( "That's because the -8 and the x are in\r\n" ); document.write( "the middle. So they are said to\r\n" ); document.write( "be on the INside.\r\n" ); document.write( "\r\n" ); document.write( "So when we multiply the INNERS we get (-8)(x) or -8x.\r\n" ); document.write( "\r\n" ); document.write( "---------------\r\n" ); document.write( "\r\n" ); document.write( "The L in \"FOIL\" stands for \"LASTS\"\r\n" ); document.write( "The red ones below are the Lasts\r\n" ); document.write( "\r\n" ); document.write( "(3x – 8)(x – 7)\r\n" ); document.write( "\r\n" ); document.write( "That's because the -8 comes LAST in the (3x - 8)\r\n" ); document.write( "and -7 comes LAST in (x - 7)\r\n" ); document.write( "\r\n" ); document.write( "When we multiply the LASTS we get (-8)(-7) or +56.\r\n" ); document.write( "\r\n" ); document.write( "So when we write out what we have:\r\n" ); document.write( "\r\n" ); document.write( "FIRSTS: 3x2 \r\n" ); document.write( "OUTERS: -21x\r\n" ); document.write( "INNERS: -8x\r\n" ); document.write( "LASTS: +56\r\n" ); document.write( "\r\n" ); document.write( "So we get \r\n" ); document.write( "\r\n" ); document.write( "3x2-21x-8x+56\r\n" ); document.write( "\r\n" ); document.write( "The terms -21x and -8x then combine to give -29x, and so we\r\n" ); document.write( "have as a final answer:\r\n" ); document.write( "\r\n" ); document.write( "3x2-29x+56\r\n" ); document.write( " \r\n" ); document.write( "Edwin\n" ); document.write( " |