Question 4 (1 point) Why is it useful to find the roots of a polynomial equation? 0 The roots of the polynomial equation are the turning points of the corresponding polynomial function 0 The roots of the polynomial equation are the end behaviours of the corresponding polynomial function 0 The roots of the polynomial equation are the x-intercepts of the graph of the polynomial function. 0 All of the above A polynomial equation has roots 0, 3 and -1/2. Which of the following is a corresponding polynomial function? Check all that apply. Of(x) = -3x(x+ 3)(2x - 1) Of ( x) = x(x - 3)2(2x + 1) Of ( x ) = x+ (x- 3) + (x + 2) Of ( x) = (x2 - 3x) (8x +4Identify the set of possible values, a, such that x-a is a factor of x5 + 3x 5 O {:1, i 3, i 5} O {1, 5} O {a 1, s } O{:1, :5} Factor the following function: f (x) = 3x3 + 12x2 + 3x - 18 . Show a full factoring process. Do your work by hand and insert it into the quiz (upload an image,Which of the following statements are TRUE about the relationship between a polynomial function and its related polynomial equation? 0 The polynomial equation is formed by setting x) to O in the polynomial function. 0 Solving the polynomial equation gives the xintercepts of the graph of the polynomial function. 0 The zeros of the polynomial function are the roots(solutions) of the polynomial equation. Identify the set of possible values, a, such that x-a is a factor of x + 3x - 5 O {+1, + 3, + 5} O {1, 5} O {}, 1, 5 } O {+1, + 5}