## 17 Dec Few Problems - 2

- For which , does

hold? - For a polynomial with integral coefficients, i.e. for all with , if where , are coprime integers with then show that:
- Let be a triangle with side-lengths , , corresponding to sides , and respectively and let , and be the lengths of the medians from vertices , and respectively. Then show that

- Construct an angle of . Give reasoning as to why your construction works.
- We call a number good if it is divisible by 5 but not by 25. How many five digit good numbers are there?

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#### Bishal Deb

Bishal Deb is an undergraduate student at Chennai Mathematical Institute. He is an editor of Gonit Sora.

#### Latest posts by Bishal Deb (see all)

- Some Interesting Properties of the Number 2016 - December 31, 2016
- Few Problems - 2 - December 17, 2016
- Fundamental Theorem of Algebra using Galois theory - November 30, 2016

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