document.write( "Question 125340: Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial:
\n" ); document.write( "y=3x^3-14x^2+17x-6\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance for the help. I already know how to make the chart, but the rest of the problem is troubling me. \n" ); document.write( "
Algebra.Com's Answer #91851 by stanbon(75887)\"\" \"About 
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Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial:
\n" ); document.write( "y=3x^3-14x^2+17x-6
\n" ); document.write( "------------------------
\n" ); document.write( "the coefficients add up to zero so x=1 is a zero of the polynomial.
\n" ); document.write( "Use synthetic division to find the other factor:
\n" ); document.write( "1)....3....-14....+17....-6
\n" ); document.write( "........3.....-11....6...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: 3x^2-11x+6
\n" ); document.write( "---------------------------
\n" ); document.write( "Use the quadratic formula to find the remaining zeroes:
\n" ); document.write( "x = [11 +- sqrt(121-4*3*6]/6
\n" ); document.write( "x = [11 +- sqrt(49)]/6
\n" ); document.write( "x = 3 or x = 2/3 or x = 1
\n" ); document.write( "==============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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