document.write( "Question 1043299: Factor 3x^2 + 26x + 51 and use the result to find the prime factors of 32651\r
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Algebra.Com's Answer #658434 by ikleyn(52812)\"\" \"About 
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\n" ); document.write( "Factor 3x^2 + 26x + 51 and use the result to find the prime factors of 32651\r
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document.write( "\"3x%5E2+%2B+26x+%2B+51\" = \"3%2A%28x-%28-3%29%29%2A%28x%2B17%2F3%29\" = (x+3)*(3x+17).\r\n" );
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document.write( "This is how to factor it.\r\n" );
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document.write( "How did I get it?\r\n" );
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document.write( "By solving the quadratic equation, I found the roots, and then got factoring.\r\n" );
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document.write( "I don't know how it is connected with factoring of the number 32651 into prime factors.\r\n" );
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document.write( "But I can factor this number independently:\r\n" );
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document.write( "32651 = 103*317.\r\n" );
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document.write( "Now I see that it is my polynomial and my factorization of it at x = 100.\r\n" );
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document.write( "But how I could get this idea for advance ???\r\n" );
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