document.write( "Question 921286: use synthetic division to determine if 3 is a zero of 2y^3-3y^2-5y \n" ); document.write( "
Algebra.Com's Answer #558932 by josgarithmetic(39623)\"\" \"About 
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The dividend coefficients are 2,-3,-5,0. You must include all of them. There is an alternative, but ...\r
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\n" ); document.write( "\n" ); document.write( "A root of 3 means a binomial factor (divisor) of x-3.\r
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\n" ); document.write( "\n" ); document.write( "The synthetic division without explanation goes this way:\r
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\n" ); document.write( "\n" ); document.write( "_______3____|________2______-3______-5_______0
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\n" ); document.write( "____________|_______________6_______9________12
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\n" ); document.write( "____________|_______2_______3________4_______12\r
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\n" ); document.write( "\n" ); document.write( "The remainder is 12, which is NOT zero.
\n" ); document.write( "Three is not a root of the polynomial.
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