document.write( "Question 729726: I was wondering if you could help me find the solution set for this problem. I am not sure of how to find the solution set either.\r
\n" ); document.write( "\n" ); document.write( "x^4-6x^3-3x^2+24x-4=0 \n" ); document.write( "

Algebra.Com's Answer #446243 by josgarithmetic(39620) $\"\"$ $\"About$

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Better if you know how to do synthetic division, but you can still use polynomial division to find binomial factors according to Rational Roots Theorem. There are a few choices to try for binomial factors, but the successful ones will be (x-2) and (x+2). You will be able to factor the polynomial into this equation:\r
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\n" ); document.write( " $\"highlight%28%28x-2%29%28x%2B2%29%28x%5E2-6x%2B1%29=0%29\"$ . The roots (or zeros) are +2, -2, 3+2*2^(1/2),
\n" ); document.write( "and 3-2*2^(1/2). The non-factorable quadratic factor has irrational roots. \n" ); document.write( "

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