Recent questions and answers in Elementary Algebra

Which of the following is FALSE?Every field is an integral domain.Every integral domain is fieldFinite integral domain is field.The ring $Z_{p}$ of integers module $p$ is...

Consider the set of all possible polynomials$$x^{3}+a_{2} x^{2}+a_{1} x+a_{0}$$with $a_{0}, a_{1}, a_{2}$ integers and $\mid a_{0}\mid \in\{0, \ldots, 9\}$, such that for...

If $\alpha, \beta, \gamma$ are roots of $x^{3}+a x+1=0$, then\[\frac{\alpha}{\beta}+\frac{\beta}{\alpha}+\frac{\beta}{\gamma}+\frac{\gamma}{\beta}+\frac{\alpha}{\gamma}+\...

Consider the equation $x^{7}+4 x^{5}+2 x^{3}+x+1=0$. The number of real root(s) of this equation is$1$$3$$5$$7$

A girl writes five consecutive positive integers on a blackboard. She then erases one of them. The sum of the remaining four numbers is $2025.$ What number did she erase?