Homework assignments for Math 28b, Spring 1998


Problem Set 7. Due Thursday April 2, 1998

  1. Page 247 A2,A7
  2. Page 249 F1-F3
  3. Page 255 A1,A4,A5
  4. Page 257 F1,F3,F4
  5. Show that gcd(x3+1,x2+1) = 1 in Q[x], by exhibiting two polynomials r(x) and s(x) with (x3+1)r(x) +(x2+1)s(x)=1. (Hint: use the division algorithm, as we did for finding gcd's in Z.)