Question

If $r$is a solution to the equation $f\left(x\right)=0$, name three additional statements that can be made about $f$and $r$assuming $f$is a polynomial function.

Short answer

The solution is $r$is the real zero of the polynomial function $f$, $r$is an x-intercept of the graph of $f$and $x-r$is a factor of $f$.

Step-by-step solution

Step 1. Given information 

Equation: $f\left(x\right)=0$

where $r$is the solution.

Step 2. Calculation 

If $r$is a solution to the equation $f\left(x\right)=0$, then $r$is the real zero of the polynomial function $f$, $r$is an x-intercept of the graph of $f$and $x-r$ is a factor of $f$.