From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 3293/CH4/EX4.9/Ex4_9.sce | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100755 3293/CH4/EX4.9/Ex4_9.sce (limited to '3293/CH4/EX4.9/Ex4_9.sce') diff --git a/3293/CH4/EX4.9/Ex4_9.sce b/3293/CH4/EX4.9/Ex4_9.sce new file mode 100755 index 000000000..569b30889 --- /dev/null +++ b/3293/CH4/EX4.9/Ex4_9.sce @@ -0,0 +1,22 @@ +//page 133 +//Example 4.9 +clc; +clear; +close; +disp('M is the ideal in F[x] generated by:'); +disp('(x-1)*(x+2)^2'); +disp('(x+2)^2*(x+3)'); +disp('(x-3)','and'); +x = poly(0,"x"); +p1 = (x-1)*(x+2)^2; +p2 = (x+2)^2*(x-3); +p3 = (x-3); +disp('M = (x-1)*(x+2)^2 F[x] + (x+2)^2*(x-3) + (x-3)'); +disp('Then M contains:'); +t = 1/2*(x+2)^2*((x-1) - (x-3)); +disp(t); +disp('i.e., M contains (x+2)^2'); +disp('and since, (x+2)^2 = (x-3)(x-7) - 17'); +disp('So M contains the scalar polynomial 1.'); +disp('So, M = F[x] and given polynomials are relatively prime.'); +//end -- cgit