1. Use synthetic division to show that is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real solutions of the equation. (Enter your answers as a comma-separated list.) x³ 63x 162 = 0, x = 6

2. Determine the number of zeros of the polynomial function. f(x) = x³ + 5x² + 2

3. Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos(1)

4. Fill in the blank to complete the trigonometric identity. cos u/sin u

5. Fill in the blank to complete the trigonometric identity. 1/sin u=

6. Fill in the blank to complete the trigonometric identity. sin²(u) + cos²(u)

7. Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) 15 cos x + 8 = cos x