Respuesta :
Degree of h(x) is 5 because there are 5 x intercepts
Given :
The function h(x) has a zero of x = 2 + 7i with a multiplicity of one.
Every x intercept has multiplicity 1
Explanation
x intercept x=2+7i has multiplicity one
For complex intercepts occurs in pairs
So another x intercept is x=2-7i
From the given table , when h(x) is 0 then x is the x intercepts
other x intercepts from the given table are -5, 4,10
There are 5 x intercepts with multiplicity one
h(x) has 5 x intercepts . so , the degree of h(x) is 5
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