find the roots in increasing order

Question

Given f(x)=(x+5)(x-4)(x+2), Find the roots in increasing order 

To the left of the first root, is the graph of f(x) above or below the x-axis? Answer above or below: .
Between the first two roots, is the graph of f(x) above or below the x-axis? Answer above or below: .
Between the last two roots, is the graph of f(x) above or below the x-axis? Answer above or below: .
After the last root, is the graph of f(x) above or below the x-axis? Answer above or below:

Answer 1

f(x) = (x+5)(x-4)(x+2)

 

Zeros: x = -5, -2, 4

 

Leading coefficient > 0, end behavior to the right is UP.

 

Degree is 3, which is odd, so end behavior to the left is DOWN.

 

Odd multiplicity for all three zeros, so graph goes through the x-axis.

 

below, -5, above, -2, below, 4, above