Solving Polynomial using Rational Root Theorem

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3
• ±1, 7
• ±1, ±3, ±7, ±7/3
• ±1, ±3, ±7, ±1/3, ±7/3

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Solve by using Rational Root Theorem: 
x³ + 3x² - 6x - 8 = 0

•  -4, -1, 2
• -4, -1, ±√2
• 1, 2, 4
• 4,-1,√2

Solve by using Rational Root Theorem:
x⁴ - x³ + 2x² - 4x - 8 = 0

• -1, 2, ±2
• -1, 2, ±2i
• 1, -2, 4
• 1, 2, 2i

What are the zeros of the polynomial?

g(x) = 2x⁴ + 23x³ +19x² - 116x - 60

• 2,-3,-10,1/2

• 2, 3,-10,-1/2

• 2,-3,-10,-1/2

• -2,-3,10,-1/2

Find the zeros of the function:  $f\left(x\right)=x^3-8x^2-x^{ }+8$  

• -8, -1, 1

• -1, 1, 8

• 1, -2, -8

• 1, 2, 8

f(x) = (x - 3)² (x - 1)³ (x² - 4)

Find both the x and y intercepts. Graph the function. Lable the intercepts. Indicate if the graph crosses or touches at the zeros.