In order to factor , first we need to ask ourselves: What two numbers multiply to -3 and add to -2? Lets find out by listing all of the possible factors of -3 \n" );
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document.write( " Factors: \n" );
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document.write( " 1,3, \n" );
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document.write( " -1,-3,List the negative factors as well. This will allow us to find all possible combinations \n" );
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document.write( " These factors pair up to multiply to -3. \n" );
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document.write( " (-1)*(3)=-3 \n" );
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document.write( " Now which of these pairs add to -2? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -2 \n" );
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document.write( " | First Number | | | Second Number | | | Sum | | 1 | | | -3 | || | 1+(-3)=-2 | | -1 | | | 3 | || | (-1)+3=2 | We can see from the table that 1 and -3 add to -2.So the two numbers that multiply to -3 and add to -2 are: 1 and -3\r\n" );
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document.write( " Now we substitute these numbers into a and b of the general equation of a product of linear factors which is:\r\n" );
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document.write( " substitute a=1 and b=-3\r\n" );
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document.write( " So the equation becomes:\r\n" );
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document.write( " (x+1)(x-3)\r\n" );
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document.write( " Notice that if we foil (x+1)(x-3) we get the quadratic again\n" );
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