Final answer:
The x-intercepts of the function provided cannot be determined with the given information as the coefficient -3^6 seems incorrect. Assuming it represents a large negative number, the quadratic cannot be solved without its exact values. Therefore, the answer is None of the above.
Step-by-step explanation:
The function given is f(x) = -3^6 10x^5 + 15x^4 + 50x^3. To find the x-intercepts, we look for values of x such that f(x) = 0. Factoring out the common factor x^3, we get x^3(-3^6 10x^2 + 15x + 50). An x-intercept occurs whenever one of the factors is zero. For the factor x^3, this occurs when x = 0. However, without further information or a typo correction, we cannot factor or solve the quadratic equation -3^6 10x^2 + 15x + 50 = 0 because -3^6 does not seem to be a valid coefficient. Assuming that -3^6 is meant to represent a numerical coefficient (which would be a large negative number), we cannot solve this quadratic equation without its exact values using methods like the quadratic formula. Therefore, the answer is None of the above given the information provided.