The expression in the image is:

$x^3 + x^2 + 1$

This is a cubic polynomial. Would you like to solve it for specific values of $x$, factor it (if possible), or analyze it in a particular way?

Let me know if you'd like more details or have any questions.

Here are 5 related questions for further exploration:

1. Would you like to find the roots of $x^3 + x^2 + 1 = 0$?
2. Should we discuss how to graph the polynomial function?
3. Are you interested in the behavior of this function as $x$ approaches infinity or negative infinity?
4. Would you like to know how to differentiate this polynomial?
5. Should we explore if this polynomial can be factored over the real or complex numbers?

Tip: Cubic polynomials often have one real root and two complex conjugate roots if all roots aren't real.