document.write( "Question 825384: List the possible rational zeros the function f(x) = $\"3x%5E3-21x%2B18\"$ ? Describe and use one method (other than substitution) to determine if x=6 is a zero of f(x). Then find all real zeros of the function. \n" ); document.write( "

Algebra.Com's Answer #497305 by josgarithmetic(39618) $\"\"$ $\"About$

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Factor the definition.\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=3%28x%5E3-7x%2B6%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Rational Roots Theorem might be best first choice to find the zeros of f(x). (Refer to your instructional material about Rational Roots Theorem and Synthetic Division.)\r
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\n" ); document.write( "\n" ); document.write( "Use synthetic division to check the possible zeros of -1,-2,-3,-6,1, 2, 3, 6.
\n" ); document.write( "You must expect to find no more than three roots due to degree of the function;
\n" ); document.write( "the dividend for synthetic division must be $\"x%5E3%2B0%2Ax%5E2-7x%2B6\"$ because this is like accounting for all place-values in ordinary long division.\r
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\n" ); document.write( "\n" ); document.write( "If remainder is zero, then you found a root or zero.\r
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\n" ); document.write( "\n" ); document.write( "Do you need further help on this? \n" ); document.write( "

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