The following function is given f(x) = x3- 3x4-25x + 75 a. List all rational zeros that are possible according to the Rational Zero Theorem (Use a comma to separate answers as needed.)The following equation is given. Complete parts (a) (c) x3 - 3x2- 4x + 12=0 a. List all rational roots that are possible according to the Rational Zero Theorem. (Use a comma to separate answers as needed.)Answer the following questions about the equation below. x3 -6x - 4=0 (a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below. O A. - 1, - 2, - 4 B. +1, +2, +4 OC. +4 OD. +1 (b) Use synthetic division to test several possible rational roots in order to identify one actual root. One rational root of the given equation is (Simplify your answer.)Answer the following questions about the equation below. 8x3 - 62x2 + 43x - 7 =0 (a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below. WA + 1, +7, +5,+ DB. +1, +2, +4,+8 OC. +1, +2,+4,+8, +717+418 OD. +1, +7 (b) Use synthetic division to test several possible rational roots in order to identify one actual root. One rational root of the given equation is (Simplify your answer.)