For the polynomial function f(x) = x⁷(x + 14)²(x - 8), determine whether the graph touches or crosses at the x-intercept (0,0). A) touches the x-axis at (0,0) B) crosses the x-axis at (0,0) C) touches the x-axis at (8,0) D) neither

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Quizplus · Accepted Answer

The graph crosses the x-axis at (0,0) because the multiplicity of the root x=0 is odd (17), indicating a crossing behavior at this x-intercept.

For the Polynomial Function F(x) = X7(x + 14)2(x -

For the Polynomial Function F(x) = X⁷(x + 14)²(x -