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Whats the x-intercepts of f(x)=x^3+4x^2-11x-30

User Ssundarraj
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Final answer:

The x-intercepts of the function f(x) = x^3 + 4x^2 - 11x - 30 are -6, 1, and -5.

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function intersects the x-axis. To find the x-intercepts of the function f(x) = x^3 + 4x^2 - 11x - 30, we set the function equal to zero and solve for x.

Using synthetic division or factoring, we can find that the function can be factored as f(x) = (x + 6)(x - 1)(x + 5). Hence, the x-intercepts are x = -6, x = 1, and x = -5.

User Blunderer
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