1. Let f(x) and g (x) be two non-zero polynomials in R[x], R being any ring. (i) If f (x) +g (x)# 0, then deg (f (x) + g (x)) < max (deg f (x), deg g (x)). (ii) If f (x) g (x) #0, then deg (f (x) g (x)) < deg f (x) + deg g (x). (iii) If R is an integral domain, then deg (f (x) g (x)) = deg f (x) + deg g (x). %3D

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