document.write( "Question 560724: My teacher gave us these problems:
\n" ); document.write( "Solve each equation and state each zero using the Rational Root Theorem and the Conjugate Root theorem\r
\n" ); document.write( "\n" ); document.write( "x^3+2x^2+3x+6=0\r
\n" ); document.write( "\n" ); document.write( "x^4-7x^2+12=0\r
\n" ); document.write( "\n" ); document.write( "3x^3-7x^2-14x+24=0
\n" ); document.write( " I lost the notes for all of this and this is due tomorrow, I need help ASAP
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Algebra.Com's Answer #364024 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x^3+2x^2+3x+6=0
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\n" ); document.write( "x^2(x+2)+3(x+2) = 0
\n" ); document.write( "(x+2)(x^2+3) = 0
\n" ); document.write( "x = -2 or x = i*sqrt(3) or x = -i*sqrt(3)
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\n" ); document.write( "x^4-7x^2+12=0
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\n" ); document.write( "(x-3)(x-4) = 0
\n" ); document.write( "x = 3 or x = 4
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\n" ); document.write( "3x^3-7x^2-14x+24=0
\n" ); document.write( "I graphed and found a zero at x = 4/3
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\n" ); document.write( "Use synthetic division to find the quadratic factor:
\n" ); document.write( "4/3)....3....-7....-14....24
\n" ); document.write( ".........3.....-3....-18...|..0\r
\n" ); document.write( "\n" ); document.write( "Quadratic: 3(x^2-x-6) = 0
\n" ); document.write( "(x-3)(x+2) = 0
\n" ); document.write( "x = 3 or x = -2 or x = 4/3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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