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All three of the Bots got this wrong:

If the multiplicity of a linear factor is even, then the graph passes through the x-axis at the corresponding zero.(1 point)

The Bots all said true, when it is false. If the root has even multiplicity, the graph is tangent to the x-axis there; it does not cross. Consider the graph of y=x^2. It does not cross the x-axis at (0,0)

1 answer

I apologize for the incorrect response from the Bots. You are absolutely correct. If a linear factor has even multiplicity, the graph of the function is tangent to the x-axis at the corresponding zero, not passing through it. Thank you for pointing out this error.
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