Question

Let f be a field, let a in f, and let p be a prime. let f(x)=x^p-a. prove that f(x) is irreducible in f[x] if f(x) has no roots in f. answers

Answer 1

mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.