Question

How does the multiplicity of a zero affect the graph of the polynomial function?
Select answers from the drop-down menus to correctly complete the statements.
The zeros of a seventh degree polynomial function are 1 (multiplicity of 2), 2, 4, and 6 (multiplicity of 3).
The graph of the function will cross through the x-axis at
Choose... (a) 1 only b) 1 and 2 only c)2 and 4 only d) 1, 2 and 6 only e) 2, 4 and 6 only)

The graph will only touch (be tangent to) the x-axis at
Choose...(a) 1 only b) 6 only c)2 and 4 only d) 1, 2 and 6 only e) 2, 4 and 6 only)

At the zero of 6, the graph of the function will
Choose...(a) cross through while hugging b)come close to but never touch c)be tagent to) the x-axis.

Answer 1

Answer:

The multiplicity of a root affects the shape of graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis

Step-by-step explanation:

Tbh I don't know the answer I just hope this helps