1. Let's start by understanding the key concepts related to polynomial functions and circles as described. 2. For polynomial functions, these are expressions involving variables raised to whole number powers with coefficients, such as $f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$. 3. Important properties include the degree of the polynomial (highest power), which determines the shape and number of roots of the graph. 4. Polynomial graphs are smooth and continuous, and their behavior at the ends depends on the leading coefficient and degree. 5. For circles, the radius is the distance from the center to any point on the circumference. 6. Central angles are angles with vertex at the center of the circle, and their measure equals the arc they intercept. 7. Inscribed angles have their vertex on the circle and measure half the intercepted arc. 8. Chords are line segments connecting two points on the circle; the diameter is the longest chord. 9. Tangents touch the circle at exactly one point and are perpendicular to the radius at the point of contact. 10. Secants intersect the circle at two points, passing through the circle. 11. Segments and sectors are parts of the circle defined by chords and arcs. 12. To solve problems, use formulas like the chord length $c = 2r \sin(\frac{\theta}{2})$, where $r$ is radius and $\theta$ is the central angle in radians. 13. The tangent line length from a point outside the circle can be found using the Pythagorean theorem. 14. Practice interpreting graphs by identifying these elements and applying theorems such as the inscribed angle theorem and tangent-secant theorem. This overview should help you study effectively for your exam on polynomial functions and circle theorems.