Find the zeros and the vertical intercept of the function `f(x) = -6x^3+2x^2+4x`. Give your answers as integers or reduced fractions.

The zero(s) is/are  

The horizontal intercept(s) is/are  

The vertical intercept is  

Box 1: Enter your answer as a list of values separated by commas: Example: -4, 3, 2
Enter each value as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity

Box 2: Enter your answer as an n-tuple of numbers. Example: (2,5.5172)
Enter each value as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity

Box 3: Enter your answer as an n-tuple of numbers. Example: (2,5.5172)
Enter each value as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity