\r\n" );
document.write( "Write this\r\n" );
document.write( "\r\n" );
document.write( "(x )(x )\r\n" );
document.write( "\r\n" );
document.write( "Think of two POSITIVE whole numbers which multiply to give this\r\n" );
document.write( "number, 24,........\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "........that subtract (because of this sign)....,\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( ".......to give this POSITIVE number, 2,.......\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So the only two POSITIVE integers that multiply\r\n" );
document.write( "to give 24 and subtract to give 2, are 6 and 4,\r\n" );
document.write( "because 6 times 4 is 24 and 6 minus 4 is 2.\r\n" );
document.write( "So we put 6 and 4 in the parentheses like this:\r\n" );
document.write( "\r\n" );
document.write( "(x 6)(x 4)\r\n" );
document.write( "\r\n" );
document.write( "All we need do is put the correct signs in the \r\n" );
document.write( "middle of each parentheses.\r\n" );
document.write( "\r\n" );
document.write( "The larger of these two numbers (which is 6 in this case)....\r\n" );
document.write( "will always get this sign (which is -):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So we put a \"-\" sign before the 6 in the\r\n" );
document.write( "first parentheses:\r\n" );
document.write( "\r\n" );
document.write( "(x-6)(x 4)\r\n" );
document.write( "\r\n" );
document.write( "Now we need to decide what sign goes in the\r\n" );
document.write( "middle of the second parentheses:\r\n" );
document.write( "\r\n" );
document.write( "We look back at this sign:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since it is a \"-\" the second parentheses gets\r\n" );
document.write( "the OPPOSITE sign from the sign in the other\r\n" );
document.write( "parentheses (so it gets a + ):\r\n" );
document.write( "\r\n" );
document.write( "(x-6)(x+4)\r\n" );
document.write( "\r\n" );
document.write( "That's the answer.\r\n" );
document.write( "\r\n" );
document.write( "---------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Let's do another problem like that:\r\n" );
document.write( "\r\n" );
document.write( "x²-9x+14\r\n" );
document.write( "\r\n" );
document.write( "Write this\r\n" );
document.write( "\r\n" );
document.write( "(x )(x )\r\n" );
document.write( "\r\n" );
document.write( "Think of two POSITIVE whole numbers which multiply to give this\r\n" );
document.write( "number, 14,........\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "........that add (because of this + sign)....,\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( ".......to give this POSITIVE number, 9,.......\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So the only two POSITIVE integers that multiply\r\n" );
document.write( "to give 14 and add to give 9, are 7 and 2,\r\n" );
document.write( "because 7 times 2 is 14 and 7 plus 2 is 9.\r\n" );
document.write( "So we put 7 and 2 in the parentheses like this:\r\n" );
document.write( "\r\n" );
document.write( "(x 7)(x 2)\r\n" );
document.write( "\r\n" );
document.write( "All we need do is put the correct signs in the \r\n" );
document.write( "middle of each parentheses.\r\n" );
document.write( "\r\n" );
document.write( "The larger of these two numbers (which is 7 in this case)....\r\n" );
document.write( "will always get this sign (which is -):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So we put a \"-\" sign before the 7 in the\r\n" );
document.write( "first parentheses:\r\n" );
document.write( "\r\n" );
document.write( "(x-7)(x 2)\r\n" );
document.write( "\r\n" );
document.write( "Now we need to decide what sign goes in the\r\n" );
document.write( "middle of the second parentheses:\r\n" );
document.write( "\r\n" );
document.write( "We look back at this sign:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since it is a \"+\" the second parentheses gets\r\n" );
document.write( "the SAME sign as the sign in the other\r\n" );
document.write( "parentheses (so it also gets a - ):\r\n" );
document.write( "\r\n" );
document.write( "(x-7)(x-2)\r\n" );
document.write( "\r\n" );
document.write( "That's the answer.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( " \n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
