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Math · Advanced Math
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Hello,

I need help with problems 5 and 6.

Please show all the steps and the solutions of the problems.

Thank you very much.

5. Using the division theorem, if a) 21 and b) 1, find q(),r(x) so that b(z) = a(z)q(z) + r(z), with q(z), r(x) E Qlx] and deglr(z)] < degla(z)]. 6. Using the division therern, if a(z) = z2 + 1 and b(z) = z4 + 2 2 +z + 1, find q(z), r(z) so that b(x) = a(z)q(z) + τ(z), with q(z), r(z) E Z2 x] and deglr(z)] < degla(z).

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