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Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x), where p(x) = x5 − 4x3 + x2 + 3x + 1, g(x) = x3 − 3x + 1.

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p(x) = x5 − 4x3 + x2 + 3x + 1, 

g(x) = x3 − 3x + 1.

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