consider the equation 2z^7-5z^5+z-9=0 .

The equation has 7 zeros. Find the product of these Zeros and their sum .

Results 1 to 2 of 2

- Nov 7th 2009, 05:10 AM #1

- Joined
- Nov 2009
- Posts
- 7

- Nov 7th 2009, 08:25 AM #2

- Joined
- Oct 2009
- Posts
- 4,261
- Thanks
- 2

For any polynomial , Vieta's formulas (which are usually studied in high school but mainly for the quadratic equation. Their generalization for any degree is a nice exercise in symmetric polynomials) tell us that the sum of its roots equals , and their product equals

Tonio