Determine whether (x-2) is a factor of the polynomial $2 x^{3} - 6 x^{2} + 5 x + 4$ .

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Solution

If $x - 2$ is factor.
then $x = 2$ is solution.
$2 (2)^{3} - 6 (2)^{2} + 5 (2) + 4$
$16 - 24 + 14 \neq 0$
Hence it is not factor.

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