document.write( "Question 1011576: f(x)=2x^3+5x^2-x-6\r
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Algebra.Com's Answer #627277 by ikleyn(52847)\"\" \"About 
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document.write( "\"2x%5E3%2B5x%5E2-x-6\" = \"0\".\r\n" );
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document.write( "It is easy to check that x = 1 is the root.\r\n" );
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document.write( "Further, it means that the left side polynomial has a factor (x-1).\r\n" );
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document.write( "Make the long division of \"2x%5E3%2B5x%5E2-x-6\" by x-1.\r\n" );
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document.write( "You will get the quadratic polynomial as the quotient.\r\n" );
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document.write( "Then find its roots.\r\n" );
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document.write( "And the last thing. Do you know that if \"x%5B1%5D\", \"x%5B2%5D\" and \"x%5B3%5D\" are the roots of a polynomial of the third degree, \r\n" );
document.write( "then this polynomial is the product \"a%2A%28x-x%5B1%5D%29%2A%28x-x%5B2%5D%29%2A%28x-x%5B3%5D%29\", \r\n" );
document.write( "where a is its leading coefficient at \"x%5E3\" ?\r\n" );
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document.write( "That is all.\r\n" );
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