Behaviour of polynomials at their zeroes

Algebra Level 3

Let \(f(x) = x^3+1\). Then, what is the behavior of the function at \((-1,0)\)

Note: In the image given above the graph of a function \(f(x) = (x-1)^2(x-3)\) is shown. Here, the graph of the function touches \(x\)-axis at the point \((1,0)\) whereas it crosses \(x\)-axis at the point \((3,0)\). (This note has been provided to clarify the diffrence between touching and crossing the \(x\)-axis, the function given in note has no relation to the question)

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