document.write( "Question 1089861: If cx^2 - x - 28 = (x-4)(ax + b) , what is the value of c? \n" ); document.write( "
Algebra.Com's Answer #704353 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "An easier way to do these problems than the way I showed you before\r\n" );
document.write( "is to substitute \"smart\" numbers for x:\r\n" );
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document.write( "\"cx%5E2+-+x+-+28\"\"%22%22=%22%22\"\"%28x-4%5E%22%22%29%28ax%5E%22%22+%2B+b%29\"\r\n" );
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document.write( "The \"smart\" number to substitute for x is 4.  That's because if we\r\n" );
document.write( "are \"smart\", we will observe the (x-4) factor, and immediately know\r\n" );
document.write( "that if we substitute x=4, the (x-4) will become 0, which will make \r\n" );
document.write( "the entire right side 0\r\n" );
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document.write( "\"c%284%29%5E2+-+4+-+28\"\"%22%22=%22%22\"\"%284-4%5E%22%22%29%28a%284%29%5E%22%22+%2B+b%29\"\r\n" );
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document.write( "\"16c+-+32\"\"%22%22=%22%22\"\"0%29\"\r\n" );
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document.write( "\"16c\"\"%22%22=%22%22\"\"32%29\"\r\n" );
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document.write( "\"c\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "And we need go no further, for that's all we were asked for!\r\n" );
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document.write( "Edwin
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