(a) Check whether R = Q[x]/<x3+18x2+3x+6> is a field or not. If R is a field, find its characteristic. If R is not a field, obtain its quotient field.
(b) Prove the following stateinent using the principle of mathematical induction :If p (x) ao + a1x + anxn belongs to. R [x] and a belongs to R, then p (x) can be written as bo + b1(x — a) +... +bn (x — a)n, bi belongs to R for all i = 0,1,2,...n.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment