Respuesta :

Answer:

2

Explanation:

Given the function:

[tex]f\mleft(x\mright)=-7\left(x-2\right)\left(x+6\right)^2[/tex]

The highest power of the expanded form is 3, therefore, the polynomial is a polynomial of degree 3.

For any polynomial of degree n, the maximum number of turning points on the graph is n-1.

In this case: n=3

[tex]n-1=3-1=2[/tex]

The maximum number of turning points on the graph is 2.

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