Hi, there---\r\n" );
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document.write( "Let's begin by trying to factor each of these trinomials. Typically, in textbook problems you \r\n" );
document.write( "will discover some common factors that you can then cancel out.\r\n" );
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document.write( "We need two numbers whose product is 20 and whose sum is -9; the numbers are -4 and -5.\r\n" );
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document.write( "The leading coefficient is 2 so we have an extra step to find the factors. 2x^2 factors as (x)(2x) \r\n" );
document.write( "and -15 factors as (-3)(5) or (3)(-5). The numbers are -5 and 3 because (2x)(-5)-(x)(3)=-7x.\r\n" );
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document.write( "Using similar reasoning,\r\n" );
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document.write( "Therefore,\r\n" );
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document.write( "Notice that (x-4), (2x+3), and (x-2) appear in the numerator and the denominator. We can \r\n" );
document.write( "\"cancel these out\" because a number divided by itself always equals 1. Any number multiply \r\n" );
document.write( "by 1 equals the same number.\r\n" );
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document.write( "Now we have \r\n" );
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document.write( "Simplifying, we move the -1 outside the fraction.\r\n" );
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document.write( "Please email me if you have questions about this solution. I'll be happy to help you sort it out.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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