## Homework assignments for Math 28b, Spring 1998

### Problem Set 7. Due Thursday April 2, 1998

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