For each of the following pairs f(x), g(x), find q(x), r(x) so that g(x) = q(x)f(x) +

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For each of the following pairs f(x), g(x), find q(x), r(x) so that g(x) = q(x)f(x) + r(x), where r(x) = 0 or degree r(x) < degree f(x).
a) f(x), g(x) ∈ Q(x), f(x) x4 - 5x3 + 7x, g(x) = x5 - 2x2 + 5x - 3
b) f(x), g(x) ∈ Z2[x], f(x) = x2 + 1, g(x) = x4 + x3 + x2 + x + l
c) f(x), g(x) ∈ Z5[x], f(x) = x2 + 3x + l,g(x) = x4 + 2x3 + x + 4.
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