# How do you solve #x^3+4x^2>x+4# using a sign chart?

##### 1 Answer

Nov 30, 2016

#### Explanation:

# x^3+4x^2 > x+4 #

# x^2(x+4) > x+4 #

# x^2(x+4) - (x+4) > 0 #

# (x^2-1)(x+4) > 0 #

We need to find the critical values (where a sign change can occur), which is given by

Either

# x^2-1 = 0 => x =+-1#

or# x+4 = 0 => x=-4 #

So we need to examine the behaviour of (x^2-1)(x+4) in each of the intervals:

Sign of

So the solution for