document.write( "Question 200665: Question: 3 is a zero of f(x)=2x^3-3x^2-11x+6. Use synthetic division to find the zeros of f. please help \n" ); document.write( "

Algebra.Com's Answer #151106 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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3 is a zero of f(x)=2x^3-3x^2-11x+6. Use synthetic division to find the zeros of f.
\n" ); document.write( "....._________________
\n" ); document.write( "3 |2 - 3 - 11 + 6
\n" ); document.write( "..............6 + 9 - 6
\n" ); document.write( "......------------------
\n" ); document.write( "......2 + 3 - 2 + 0
\n" ); document.write( ";
\n" ); document.write( "so we have
\n" ); document.write( "2x^2 + 3x - 2 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(2x - 1)(x + 2) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "2x = 1
\n" ); document.write( "x = $\"1%2F2\"$
\n" ); document.write( "and
\n" ); document.write( "x = -2
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "The zeros: -2, + $\"1%2F2\"$ , +3 \n" ); document.write( "

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