Answer
If $p$, then $q$.
If $q$, then $r$.
Therefore, if $p$, then $r$.
If this function is a polynomial, then this function is diffrentiable.
If this function is differentiable, then this function is continuous.
Therefore, if this function is a polynomial, then this function is continuous.
Work Step by Step
Replace each complete idea (i.e., an idea that can be expressed as a complete, independent sentence) as a single letter (here, $p$, $q$, or $r$). Fill in the blanks in the example argument based on where you put the letters $p$, $q$, and $r$ by examining the first argument.