document.write( "Question 1004232: f(x) = x4 + x3 – 8x2 + 6x + 36 \r
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Algebra.Com's Answer #620849 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "from https://answers.yahoo.com/question/index?qid=20110301123054AAIHayZ (5 years ago):\r
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document.write( "Use the rational root theorem to find the possible rational roots. \r\n" );
document.write( "The rational roots theorem says that possible rational roots are +/- factors the constant term (36 here) \r\n" );
document.write( "divided by factors of the leading coefficient (1 here). Possible rational roots are \r\n" );
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document.write( "+/- 1, 2, 3, 4, 9, 12, 18, 36 \r\n" );
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document.write( "Test each zero using the rational root test. To do this, use synthetic division to test the roots. \r\n" );
document.write( "I won't show the work here, but the roots that work are -2 and -3. As factors, this is x+2 and x+3. \r\n" );
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document.write( "From the synthetic division, we have x^2-4x+6 left over, which is irreducible. \r\n" );
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document.write( "In factored form: \r\n" );
document.write( "f(x) = (x+2)(x+3)(x^-4x+6) \r\n" );
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