Use the Rational Zeros Theorem to write a list of all potential rational zeros. (5 points) f(x) = 14×3 + 56×2 + 2x – 7  

Find the vertex of the graph of the function. (5 points) f(x) = 2×2 – 8x + 6  

Graph the expression sec2 x – sec2 x sin2 x on your calculator. Determine what constant or single function is equivalent to the given expression. (5 points)

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 13°7′. When the boat stops, the angle of depression is 50°42′ . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (5 points)

Find a cubic function with the given zeros. (5 points)-7, 5, -3 

Write a linear factorization of the function. (5 points)f(x) = x4 + 4×2 

Find (f + g)(x). (5 points)

Find the vertex of the graph of the function. (5 points) f(x) = 2×2 – 8x + 9  

Find the zeros of the polynomial function and state the multiplicity of each. (5 points)f(x) = 5(x + 6)2(x – 6)3  

Find the exact value by using a half-angle identity. (6 points)