<PRE><B>Question 86301</B>
use the factor theorem to find a polynomial which is not a factor of f(x)=3x^4-5x^3-35x^2+25x+12. (x-4)(x-1)(x+3)(3x-2)
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Using synthetic division:
2 )3....-5....-35....25....12
.....3.....1....-33....-41..|..-70
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Since the Remainder is not zero,
 x-2 is not factor of f(x);
3x^3 +x^2-33x-41 is not a factor of f(x)
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Cheers,
Stan H.</PRE>