Write whether the statement is True or False. Justify your answer.
Zero of a polynomial is always $0$.
Zero of a polynomial is always $0$.
(FALSE) The given statement is False.
Justification: $A$ zero of a polynomial $p(x)$ is a value $k$ such that $p(k) = 0$. For example,consider the polynomial $p(x) = x - 2$. Setting $p(x) = 0$,we get $x - 2 = 0$,which implies $x = 2$. Here,$2$ is the zero of the polynomial,which is not $0$. Therefore,the zero of a polynomial can be any real number,not necessarily $0$.
Justification: $A$ zero of a polynomial $p(x)$ is a value $k$ such that $p(k) = 0$. For example,consider the polynomial $p(x) = x - 2$. Setting $p(x) = 0$,we get $x - 2 = 0$,which implies $x = 2$. Here,$2$ is the zero of the polynomial,which is not $0$. Therefore,the zero of a polynomial can be any real number,not necessarily $0$.
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