Solve handwritten on piece of paper

Factor Theorem Complete the following statement. If a is a zero of a function, then the factor X - is a factor of f(x). When f(x) is divided by this factor of _X - _, then the remainder is Answer the following questions about factors and synthetic division. 1. How could you show that (x - 2) was a factor of f(x) = x2 - x -2? Show and explain your work. 2. Is (x + 2) a factor of f(x) = 2x3 -x2+ 3x - 8? Show and explain your work. 3. Determine which of the following factors are factors of the function f(x) = x3 - 13x -12. Show and explain your work. A. (x - 3) B. (x + 1) C. (x - 4)