Determine the equation of the polynomial, p(x),in both factored and standard form.

Solve the inequality p(x)<0.

We can see that the graph touches without crossing the x-axis (i.e. it is a double solution), and then there's another zero at (this time it's a crossing zero, so a single solution).

This leads, up to multiple, to the polynomial

If we impose the passing through we have

So, the polynomial is

Finally, to solve , simply look at the graph, searching for the points, where the graph is below the x-axis. You can see that this happens only if , so that's the solution to your question.

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step-by-step explanation: