document.write( "Question 137150This question is from textbook College Algebra
\n" ); document.write( ": Solve for x: f(x)=2x^3+3x^2-8x+3=0
\n" ); document.write( "How can I find all possible roots and for this polynomial. How can I sketch a graph of this?
\n" ); document.write( "My instructor also uses synthetic divsion after he finds the first root and factor. \n" ); document.write( "
Algebra.Com's Answer #100346 by stanbon(75887)\"\" \"About 
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Solve for x: f(x)=2x^3+3x^2-8x+3=0
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\n" ); document.write( "Notice that f(1) = 2+3-8+3 =0
\n" ); document.write( "That means 1 is a zero; use it with synthetic division to find the quotient:
\n" ); document.write( "1)....2....3....-8....3
\n" ); document.write( ".......2....5.....-3..|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: 2x^2+5x-3
\n" ); document.write( "Factor with AC Method:
\n" ); document.write( " 2x^2+6x-x-3
\n" ); document.write( "2x(x+3-(x+3)
\n" ); document.write( "= (x+3)(2x-1)
\n" ); document.write( "x = 1, or x = -3 or x = 1/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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