Cut the interval
Prove that the equation
Is there a sequence of natural numbers in which every natural number occurs exactly once, and for any
Given a square trinomial
We are given a polynomial
It is known that a certain polynomial at rational points takes rational values. Prove that all its coefficients are rational.
Prove that multiplying the polynomial
Does a continuous function that takes every real value exactly 3 times exist?
Prove that there are infinitely many composite numbers among the numbers