Question

write definitions of reducible polynomial and irreducible polynomial with examples ???​

Answer 1

Answer:

Let be a field and let . Then is said to be Irreducible over if cannot be factored into a product of polynomials all of which having lower degree than . If is not irreducible over then we say that is Reducible over . For example, over the field of real numbers the polynomial is irreducible.

Hope it helps u

Answer 2

In mathematics, an irreducible polynomial is, roughly speaking, a non-constant polynomial that cannot be factored into the product of two non-constant polynomials. For example, over the field of real numbers the polynomial is irreducible.

In mathematics, a reducible polynomial is a polynomial expressible as the product of two or more polynomials of lower degree.