document.write( "Question 700939: Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots.\r
\n" ); document.write( "\n" ); document.write( "x^3 + 2x^2 + 3x + 6 = 0 \n" ); document.write( "

Algebra.Com's Answer #432079 by stanbon(75887) $\"\"$ $\"About$

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Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots.\r
\n" ); document.write( "\n" ); document.write( "x^3 + 2x^2 + 3x + 6 = 0
\n" ); document.write( "-------------
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E3%2B2x%5E2%2B3x%2B6%29\"$
\n" ); document.write( "---
\n" ); document.write( "f(-3) is negative
\n" ); document.write( "f(-2) is zero
\n" ); document.write( "f(-1) is positive
\n" ); document.write( "-------
\n" ); document.write( "Using synthetic division:
\n" ); document.write( "-2)....1....2....3....6
\n" ); document.write( "........1....0....3...|..0\r
\n" ); document.write( "\n" ); document.write( "x = -2 is a rational zero.
\n" ); document.write( "----
\n" ); document.write( "Find other roots:
\n" ); document.write( "Quotient: x^2 + 3
\n" ); document.write( "Solve: x^2+3 = 0
\n" ); document.write( "x^2 = -3
\n" ); document.write( "x = sqrt(3)i or x = -sqrt(3)i
\n" ); document.write( "=================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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