document.write( "Question 1025360: factor the trinomial using a binomial:
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Algebra.Com's Answer #640689 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "factor the trinomial using a binomial:
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document.write( "1. Apply the quadratic formula to find the roots of the polynomial.\r\n" );
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document.write( "   The roots are \r\n" );
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document.write( "   \"x%5B1%2C2%5D\" = \"%28-24+%2B-+sqrt%28%28-24%29%5E2+-+4%2A4%2A27%29%29%2F8\" = \"%28-24+%2B-+sqrt%28144%29%29%2F8\" = \"%28-24+%2B-+12%29%2F8\".\r\n" );
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document.write( "   So, \"x%5B1%5D\" = \"-36%2F8\" = -4.5  and  \"x%5B2%5D\" = \"-12%2F8\" = -1.5.\r\n" );
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document.write( "2. Hence, the factorization is \r\n" );
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document.write( "   \"4x%5E2%2B24x%2B27\" = \"4%2A%28x+-+x%5B1%5D%29%2A%28x+-+x%5B2%5D%29\" = 4*(x - (-4.5))*(x - (-1.5)) = (2x + 9)*(2x + 3).\r\n" );
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document.write( "It is your answer.\r\n" );
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