The cubic polynomial f(x) is defined by f(x) = 4x^3 - 7x - 3. (i) Find the remainder when f(x) is divided by (x - 2). (ii) Show that (2x + 1) is a factor of f(x) and hence factories f(x) completely. (iii) Solve the equation 4cos^3 theta - 7 cos theta -3 = 0 for 0 lessthanorequalto theta lessthanorequalto 2 pi. Give each solution for theta in an exact form.
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