Consider the graph of the polynomial function p(x)=(x-1)(x+2)(x+5)

Answer:
The graph is first increasing then decreasing to right.
Step-by-step explanation:
Given : The polynomial function [tex]p(x)=(x-1)(x+2)(x+5)[/tex]
To find : Consider the graph of the polynomial function and the graph is ?
Solution :
First we graph the given polynomial function,
[tex]p(x)=(x-1)(x+2)(x+5)[/tex]
which cut the x-axis at 1,-2,-5.
Refer the attached figure below.
The graph is first increasing to the point (-3.7,10.3) then decreasing to point (-0.268,-10.392) then increasing to infinity.
Therefore, The graph is first increasing then decreasing to right.