O Investigation Polynomials in Factored Form The graph of the functions are given below on the coordinate plane, labeling the x-intercept(s) . 1. f(x) = (x+ 1)(x - 2) 2. S(x) = x(x - 3) (-1, 0) (2, 0) (0, 0) (3, 0) -4 -2 4 X -4 -2 3. S(x) = x(x + 1)(x - 3) 4. f(x) = (x + 2) - 2 (-1, 0) (0, 0) (2, 0) -4 -2 -4 ( 2, 0) 2 -2 5. f(x) = (x - 1)(x + 1)(x + 2) 6. f(x) = (2x - 3)(x + 1) Ay A - 2 (-1, 0) (1.5, 0) 4 x -4 -2 2 4 x3. Find the x-intcrccpt of f(x) and use your conjecture to make a prediction about what the graph of f (x) = (x - 1)(x 2)(x + 1) might look like and sketch it. 4. What is the value of [(x) at each ofthc .r-intercepts'.' 5. Use your answers in the previous questions to determine where the .r-intercepts might be for the function f (x) = (3x 5)(2x + 1). Refer to the symbolic and graphical representations of the functions to answer the question. 1. Solve the following equations. a) (x + 1)(x - 2) = 0 b) x(x - 3) = 0 c) x(x + 1)(x - 3) = 0 d) (x + 2)2 = 0 2. Make a conjecture about the relationship between the numerical values of x in the equations and the graph of the function and justify your conjecture