Question: Find q(x) and r(x) as described by the division algorithm so that f (x) = g(x)q(x) + r(x) with r(x) = 0 or of degree

Find q(x) and r(x) as described by the division algorithm so that f (x) = g(x)q(x) + r(x) with r(x) = 0 or of degree less than the degree of g(x).

f(x) = x6 + 3x5 +,4x2 - 3x + 2 and g(x) = 3x2 + 2x - 3 in Z7[x].

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