## 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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