1. The problem asks for the possible values of $n$ in $f(x) = x^n$ if $f$ is a polynomial function. 2. Polynomial functions have non-negative integer exponents. So $n$ must be a whole number $\geq 0$. 3. Among the options: A. -2 (negative integer), B. 0 (valid), C. 1/4 (fraction), D. $5\sqrt{3}$ (irrational). 4. Only B. 0 is valid for $n$ in a polynomial function. 5. For $y = x^3 - 7x + 6$, the leading term is the term with the highest power of $x$, which is $x^3$. 6. The y-intercept is the constant term when $x=0$, which is 6. 7. A polynomial function must have non-negative integer exponents. Option A. $f(x) = 2 \frac{1}{x^2}$ has a negative exponent, so it is NOT a polynomial. 8. The sum of central angles of a circle is always 360 degrees. 9. An inscribed angle intercepting a semicircle measures exactly 90 degrees. 10. An angle formed by two rays with vertex at the center of the circle is a central angle. 11. Opposite angles of a quadrilateral inscribed in a circle are supplementary (sum to 180 degrees). 12. In circle A, $\angle TAH$ is an inscribed angle. 13. The congruent arc of MS is SH. 14. A tangent line intersects a circle at exactly one point. 15. The point of intersection of a tangent and a circle is called the point of tangency. 16. A segment of a circle is the region bounded by an arc and the segment joining endpoints; in the figure, ES is the segment of the circle. 17. In $\odot U$, if $m\angle PUE = 56^\circ$, then $m\angle PRE = \frac{1}{2} m\angle PUE = 28^\circ$. 18. The radius is half the diameter, so radius = 6 inches. 19. Length of crust per slice is the arc length of one slice: $\frac{1}{8}$ of circumference $= \frac{1}{8} \times 2 \pi r = \frac{1}{8} \times 2 \pi \times 6 = \frac{3}{2} \pi$. 20. Distance formula between points A(2,5) and B(-4,9) is $d = \sqrt{(2 - (-4))^2 + (5 - 9)^2} = \sqrt{6^2 + (-4)^2} = \sqrt{36 + 16} = \sqrt{52}$. 21. Coordinate proof uses figures on a coordinate plane to prove geometric properties. 22. Standard equation of a circle with center $(h,k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. 23. Equation of circle with center at origin and radius 6 is $x^2 + y^2 = 36$. 24. Distance from center to point is radius $r = \sqrt{25} = 5$. 25. Equation of circle with center (-6,-8) and radius 8 is $(x + 6)^2 + (y + 8)^2 = 64$. 26. Point B lies in Quadrant IV (positive x, negative y). 27. The quadrilateral formed is a trapezoid. 28. Weight of fish with length 12 inches: $w = 0.00304 \times 12^3 = 0.00304 \times 1728 = 5.25$ kg. 29. Given $m\angle MAT = 100$ and $mM7T - 4x = 4$, solving for $x$ gives $x=24$. 30. In quadrilateral JOEL inscribed in circle D, $m\angle ELJ + m\angle LJO = 173^\circ$. 31. Sum $m\angle J + m\angle O = 110^\circ$. 32. Measure of $\angle EAD$ is 57 degrees. 33. Arc length for 45° arc with radius 8 cm is $\frac{45}{360} \times 2 \pi \times 8 = 2 \pi \times 8 \times \frac{1}{8} = 2 \pi$ cm. 34. Each angle formed at center of regular octagon is $\frac{360}{8} = 45^\circ$. 35. Midpoint of segment with endpoints (-12,15) and (18,3) is $\left( \frac{-12+18}{2}, \frac{15+3}{2} \right) = (3,9)$. 36. Distance between points S(1,5) and R(1,-2) is $|5 - (-2)| = 7$. 37. Distance between R(-3,2) and S(4,1) is $\sqrt{(4+3)^2 + (1-2)^2} = \sqrt{7^2 + (-1)^2} = \sqrt{49 + 1} = \sqrt{50} = 5\sqrt{2}$. 38. Coordinates of point Y in regular hexagon are $Y(m, -r)$. 39. Missing coordinate to form right triangle with points (2,4) and (7,4) is (2,0). 40. Value of $\angle RLQ$ is 65 degrees. 41. Food expense degree in pie chart: $\frac{10000}{45000} \times 360 = 80^\circ$. 42. General equation of circle with center (-2,-3) and radius 4 is $x^2 + y^2 + 4x + 6y - 29 = 0$. 43. Length of segment joining P(10,1) and T(7,-2) is $\sqrt{(10-7)^2 + (1+2)^2} = \sqrt{3^2 + 3^2} = \sqrt{18} = 4.24$. Final answers: 1-B 2-A 3-D 4-A 5-D 6-C 7-C 8-A 9-C 10-B 11-B 12-C 13-C 14-A 15-D 16-C 17-B 18-C 19-B 20-C 21-C 22-A 23-D 24-D 25-B 26-A 27-B 28-A 29-B 30-D 31-C 32-D 33-C 34-D 35-A 36-D 37-B 38-C 39-A 40-D