• Show that if A(z) = 1x” + … + x + ao and B(x) =…

• Show that if A(z) = 1x” + … + x + ao and B(x) = 1.2″ + … +61 + b (A(x) and B(x) are monic polynomials), then the division algorithm works for polynomials in Z[x] • Show with an example that in general the division algorithm does not work in Z[x]. • Given A(x) = 2,10 + 7.06 +34 – 5×3 + 10x + 2 and B(x) = 7.5 – x4 + 5.×2 + 1 (a) Find Q(x) and R(x) so that A(x) = B(x)Q(x) + R(x) in Z(x) (b) Find Q(x) and R(x) so that A(x) = B(x)Q(x) + R(x) in 27 (2)