Answer
1. $r$ is an x-intercept of the graph of $f(x)$.
2. $r$ is a real zero of a polynomial function $f(x)$.
3. $(x−r)$ is a factor of $f(x)$.
4. $r$ is a solution to the equation $f(x)=0$.
Work Step by Step
When $f(x)$ is a function and $r$ is a real number for which $f(r)=0$, then $r$ can be defined as the real zero of $f(x)$.
The following four statements are then true:
1. $r$ is an x-intercept of the graph of $f(x)$.
2. $r$ is a real zero of a polynomial function $f(x)$.
3. $(x−r)$ is a factor of $f(x)$.
4. $r$ is a solution to the equation $f(x)=0$.
