document.write( "Question 937897: Hello!
\n" ); document.write( "I am confused on how to factor this 6th degree polynomial:
\n" ); document.write( "f(x) = 6x^4-13x^3-27x^2+40x-12
\n" ); document.write( "How would I group them? I tried to rearrange them but I can't seem to find a way to figure it out.
\n" ); document.write( "Any help is greatly appreciated. Thank you!\r
\n" ); document.write( "\n" ); document.write( "- Marterlo
\n" ); document.write( "

Algebra.Com's Answer #571312 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Hello!
\n" ); document.write( "I am confused on how to factor this 6th degree polynomial:
\n" ); document.write( "f(x) = 6x^4-13x^3-27x^2+40x-12
\n" ); document.write( "How would I group them? I tried to rearrange them but I can't seem to find a way to figure it out.
\n" ); document.write( "Any help is greatly appreciated. Thank you!\r
\n" ); document.write( "\n" ); document.write( "- Marterlo
\n" ); document.write( "
You can use the RATIONAL ROOT THEOREM twice, and along with POLYNOMIAL LONG DIVISION,
\n" ); document.write( "you should obtain the factors of polynomial: \"6x%5E4+-+13x%5E3+-+27x%5E2+%2B+40x+-+12\" as: \"highlight_green%28%28x+-+3%29%28x+%2B+2%29%283x+-+2%29%282x+-+1%29%29\", and so:
\n" ); document.write( "\"f%28x%29+=+6x%5E4+-+13x%5E3+-+27x%5E2+%2B+40x+-+12\" becomes: \"f%28x%29+=+%28x+-+3%29%28x+%2B+2%29%283x+-+2%29%282x+-+1%29\", from which the solutions to the equation,
\n" ); document.write( "or the ROOTS of the equation can be obtained.
\n" ); document.write( "By the way, it's a 4th degree polynomial, not a 6th degree polynomial. Hence, there are 4 ROOTS, or 4 solutions, or 4 zeroes.
\n" ); document.write( "You can do the check!!
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\n" ); document.write( "If you need a complete and detailed solution, let me know!!
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\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. \r
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