document.write( "Question 834605: For 3x^3 –2x + 6 = 0, state the number of complex roots, the possible number of real roots, and the possible rational roots \n" ); document.write( "

Algebra.Com's Answer #503239 by richard1234(7193) $\"\"$ $\"About$

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3 complex roots, due to the fundamental theorem of algebra.\r
\n" ); document.write( "\n" ); document.write( "The cubic must have at least one real root. It cannot have exactly two real roots, as the third would have non-zero imaginary part, which doesn't work (since the sum of the roots is real). So the cubic has either 1 or 3 real roots (in actuality, one).\r
\n" ); document.write( "\n" ); document.write( "Possible rational roots are of the form

where a divides 6 and b divides 3. \n" ); document.write( "

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