10. Integral Domains and Fields

Polynomial Examples — Quiz

Test your understanding of polynomial examples with 5 practice questions.

Practice Questions

Question 1

Which polynomial is a unit in $\mathbb{Z}[x]$?

Question 2

What is the degree of $(x^2+1)(x^3+2)$ in $\mathbb{F}_5[x]$?

Question 3

Which element is a zero divisor in $\mathbb{Z}_6[x]$?

Question 4

If $f(x)$ and $g(x)$ are nonzero polynomials in $F[x]$, where $F$ is a field, what must $f(x)g(x)$ be?

Question 5

In $\mathbb{Z}_2[x]$, which factored form is equal to $x^2+x$?