Question: 1. (a) Use a graphing calculator or computer to estimate the period of 2 sin θ + 3 cos(2θ).
(b) Explain your answer, given that the period of sin θ is 2π and the period of cos(2θ) is π.
2. How many distinct roots can a polynomial of degree 5 have? (List all possibilities.) Sketch a possible graph for each case.