MATH SOLVE

2 months ago

Q:
# The graph of f(x) = x3 + 6x2 + 12x + 8 is shown. Based on the graph, how many real number solutions does the equation x3 + 6x2 + 12x + 8 = 0 have?

Accepted Solution

A:

You didn't show the graph.

Anyway, that equation is a perfect cube and equals

(x +2)^3

or (x +) * (x +) * (x +)

Therefore, it has 3 real number solutions and ALL of those solutions equal -2

Anyway, that equation is a perfect cube and equals

(x +2)^3

or (x +) * (x +) * (x +)

Therefore, it has 3 real number solutions and ALL of those solutions equal -2