Answer
To solve this and its graphical interpretation, we use polynomial concepts and their derivatives.
Work Step by Step
We know that $p(x)$ is a polynomial. By knowing the zero for $\mathrm{p}(\mathrm{x}),$ we know where the graph cuts the coordinate axes. By knowing zero of $p^{\prime}(x),$ we know where the graph of $p(x)$ contains relative extrema. By knowing the zero's of $p^{\prime \prime}(x),$ we know where the graph changes its concavity.
